To find the value of x that would make the two expressions equivalent, we can equate the bases (16) and set the exponents equal to each other.
16^x * 6 = 16^18
Dividing both sides by 6:
16^x = 16^18 / 6
Since the bases are the same, we can set the exponents equal to each other:
x = 18 / 6 = 3
Therefore, the exponent that would make the two expressions equivalent is 3.
What exponent would make the two expressions equivalent: (16^x)6=(16^18)
45 answers
hi
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Apply the Zero Power Rule of Integer Exponents to solve 63 to the power of 0.
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, 63 to the power of 0 is equal to 1.
Apply the Zero Power Rule of Integer Exponents to solve 2.3 + (−1.478) to the power of 0.
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1. Therefore, when applying the Zero Power Rule to the expression 2.3 + (−1.478) to the power of 0, we can rewrite it as:
(2.3 + (−1.478))^0
Following the Zero Power Rule, this expression simplifies to:
1^0
Since any number raised to the power of 0 is equal to 1, the final result is:
1
(2.3 + (−1.478))^0
Following the Zero Power Rule, this expression simplifies to:
1^0
Since any number raised to the power of 0 is equal to 1, the final result is:
1
Apply the Zero Power Rule of Integer Exponents to solve −4 to the power of 0 ⋅ 15
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, -4 to the power of 0 is equal to 1.
Now, let's simplify the expression:
-4^0 * 15 = 1 * 15 = 15
So, the result is 15.
Now, let's simplify the expression:
-4^0 * 15 = 1 * 15 = 15
So, the result is 15.
YOUR WRONG
Apologies for the incorrect response. Let's reevaluate the expression.
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, -4 to the power of 0 is equal to 1.
Now, let's simplify the expression:
(-4)^0 * 15 = 1 * 15 = 15
Again, the result is 15.
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, -4 to the power of 0 is equal to 1.
Now, let's simplify the expression:
(-4)^0 * 15 = 1 * 15 = 15
Again, the result is 15.
ok thanks anyway
You're welcome! If you have any more questions, feel free to ask. I'm here to help!
Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
Responses
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
The correct process of solving -30 + 4.5 is:
−30 + 4.5 = -25.5
None of the provided options show the correct process or the correct answer. The correct answer is -25.5.
−30 + 4.5 = -25.5
None of the provided options show the correct process or the correct answer. The correct answer is -25.5.
but which one is it?
Apologies for the confusion. The correct process of solving -30 + 4.5 is:
−30 + 4.5 = -25.5
None of the provided options show the correct process or the correct answer. The correct answer is -25.5.
−30 + 4.5 = -25.5
None of the provided options show the correct process or the correct answer. The correct answer is -25.5.
Which of the following shows the correct process of solving −3 to 0 + 4.5?
A. −30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
B. −30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
C. −30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
D. −30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
A. −30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
B. −30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
C. −30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
D. −30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
The correct process of solving −3^0 + 4.5 is:
A. −30 + 4.5 = (−3)^0 + 4.5 = 1 + 4.5 = 5.5
Therefore, Option A is the correct answer.
A. −30 + 4.5 = (−3)^0 + 4.5 = 1 + 4.5 = 5.5
Therefore, Option A is the correct answer.
Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
a. 70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
b. 75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
c. 71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
d. 75.30+36
a. 70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
b. 75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
c. 71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
d. 75.30+36
To apply the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1.
The given expression 7(-5.3)^0 + 4 * 9 simplifies as follows:
7 * 1 + 4 * 9
This simplifies further to:
7 + 36
Which gives the result:
43
Therefore, none of the provided answer options are equivalent to 7(-5.3)^0 + 4 * 9.
The given expression 7(-5.3)^0 + 4 * 9 simplifies as follows:
7 * 1 + 4 * 9
This simplifies further to:
7 + 36
Which gives the result:
43
Therefore, none of the provided answer options are equivalent to 7(-5.3)^0 + 4 * 9.
Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)+1
Responses
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)+1
To simplify the expression 12(9-70) + (-29)^0, we follow the order of operations.
First, we simplify the parentheses:
12(-61) + (-29)^0
Next, we apply the exponent:
12(-61) + 1
Now, we perform the multiplication:
-732 + 1
Finally, we add the numbers together:
-731
Therefore, the expression is equivalent to -731.
None of the provided options are equivalent to -731.
First, we simplify the parentheses:
12(-61) + (-29)^0
Next, we apply the exponent:
12(-61) + 1
Now, we perform the multiplication:
-732 + 1
Finally, we add the numbers together:
-731
Therefore, the expression is equivalent to -731.
None of the provided options are equivalent to -731.
Which of the following is an equivalent expression to 12(9−70)+(−29)0?
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)+1
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)+1
To simplify the expression 12(9-70) + (-29)^0, we follow the order of operations.
First, we simplify the parentheses:
9 - 70 = -61
Next, we apply the exponent:
(-29)^0 = 1
Now, we substitute the simplified values back into the original expression:
12(-61) + 1
Finally, we perform the multiplication and addition:
-732 + 1 = -731
Therefore, the expression is equivalent to -731.
Out of the provided options, the only one that is equivalent to -731 is:
12(9-1) + 1
First, we simplify the parentheses:
9 - 70 = -61
Next, we apply the exponent:
(-29)^0 = 1
Now, we substitute the simplified values back into the original expression:
12(-61) + 1
Finally, we perform the multiplication and addition:
-732 + 1 = -731
Therefore, the expression is equivalent to -731.
Out of the provided options, the only one that is equivalent to -731 is:
12(9-1) + 1
Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule?
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
The correct process of solving −4(3+120)+150 using the Zero Power Rule is:
−4(3+120)+150 = −4(15)+150 = −60+150 = 90
None of the provided options show the correct process or the correct answer. The correct answer is 90.
−4(3+120)+150 = −4(15)+150 = −60+150 = 90
None of the provided options show the correct process or the correct answer. The correct answer is 90.
Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule? (1 point)
Responses
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
Responses
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
The correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule is:
−4(3+120)+150 = −4(3+1)+150 = −4⋅4+150 = −16+150 = 134
Among the provided options, none of them show the correct process or the correct answer. The correct answer is 134.
−4(3+120)+150 = −4(3+1)+150 = −4⋅4+150 = −16+150 = 134
Among the provided options, none of them show the correct process or the correct answer. The correct answer is 134.
no, whcih option is it
Apologies for the confusion. The correct option that shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule is:
−4(3+120)+150 =−4(3+1)+1 =−4⋅4+1 =−16+1 =−15
Therefore, the correct option is:
−4(3+120)+150 =−4(3+1)+1 =−4⋅4+1 =−16+1 =−15
−4(3+120)+150 =−4(3+1)+1 =−4⋅4+1 =−16+1 =−15
Therefore, the correct option is:
−4(3+120)+150 =−4(3+1)+1 =−4⋅4+1 =−16+1 =−15
can you explain please?
Certainly! Here is the explanation:
The given expression is −4(3+120)+150.
1. Start by simplifying the expression within the parentheses:
3 + 120 = 123
2. Apply the Zero Power Rule, which states that any non-zero number raised to the power of 0 is equal to 1. In this case, (-4)^0 = 1. So we can rewrite the expression as:
-4(123) + 150
3. Perform the multiplication:
-4 * 123 = -492
4. Add the final term:
-492 + 150 = -342
Therefore, the correct result for the expression is -342.
Now, looking at the provided options:
- Option A: −4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15 (incorrect result)
- Option B: None of the options provided
- Option C: None of the options provided
- Option D: None of the options provided
None of the provided options match the correct process and result for the given expression.
The given expression is −4(3+120)+150.
1. Start by simplifying the expression within the parentheses:
3 + 120 = 123
2. Apply the Zero Power Rule, which states that any non-zero number raised to the power of 0 is equal to 1. In this case, (-4)^0 = 1. So we can rewrite the expression as:
-4(123) + 150
3. Perform the multiplication:
-4 * 123 = -492
4. Add the final term:
-492 + 150 = -342
Therefore, the correct result for the expression is -342.
Now, looking at the provided options:
- Option A: −4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15 (incorrect result)
- Option B: None of the options provided
- Option C: None of the options provided
- Option D: None of the options provided
None of the provided options match the correct process and result for the given expression.
oh thank u
You're welcome! If you have any more questions, feel free to ask. I'm here to help!
Question
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
129
12 superscript 9 baseline
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
(7^8)⋅(7^10)
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
129
12 superscript 9 baseline
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
(7^8)⋅(7^10)
The expression that correctly uses the Power Rule of Exponents is:
(7^8)⋅(7^10)
This follows the Power Rule which states that when multiplying two exponential expressions with the same base, you can add their exponents.
Therefore, (7^8)⋅(7^10) simplifies to 7^(8+10), which is equivalent to 7^18.
(7^8)⋅(7^10)
This follows the Power Rule which states that when multiplying two exponential expressions with the same base, you can add their exponents.
Therefore, (7^8)⋅(7^10) simplifies to 7^(8+10), which is equivalent to 7^18.
i've got a language arts question if that's okay with you.
Absolutely! I'll do my best to assist you with your language arts question. Please go ahead and ask your question.
Use the paragraph to answer the question.
"Mr. Washington spent the whole summer running a student car wash to raise money for the big garden project. He wants to create a farm-to-table type of program that allows for the school to grow its own fruits and vegetables. Mr. Washington made a pledge to the community last year that, as the new principal, he would do everything in his power to improve the nutritional value of school lunches."
Which answer is explicit evidence from the text about Mr. Washington?
A. Mr. Washington likes fruits and vegetables.
B. Mr. Washington wants students to wash cars.
C. Mr. Washington is part of the garden project.
D. Mr. Washington made a pledge to the community.
I made up this question btw sorry if it doesn't make sense haha.
"Mr. Washington spent the whole summer running a student car wash to raise money for the big garden project. He wants to create a farm-to-table type of program that allows for the school to grow its own fruits and vegetables. Mr. Washington made a pledge to the community last year that, as the new principal, he would do everything in his power to improve the nutritional value of school lunches."
Which answer is explicit evidence from the text about Mr. Washington?
A. Mr. Washington likes fruits and vegetables.
B. Mr. Washington wants students to wash cars.
C. Mr. Washington is part of the garden project.
D. Mr. Washington made a pledge to the community.
I made up this question btw sorry if it doesn't make sense haha.
Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?(1 point)
Responses
1016
10 superscript 16 baseline
1063
10 superscript 63 baseline
907
90 superscript 7 baseline
102
10 superscript 2 baseline
Responses
1016
10 superscript 16 baseline
1063
10 superscript 63 baseline
907
90 superscript 7 baseline
102
10 superscript 2 baseline
To apply the Power Rule of Exponents in the expression (10^9)^7, we multiply the exponents.
Therefore, (10^9)^7 simplifies to 10^(9*7), which is equivalent to 10^63.
The correct answer is:
1063
10 superscript 63 baseline
Therefore, (10^9)^7 simplifies to 10^(9*7), which is equivalent to 10^63.
The correct answer is:
1063
10 superscript 63 baseline
If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses
(412)2
left parenthesis 4 superscript 12 baseline right parenthesis squared
4⋅4⋅4⋅4⋅4⋅4⋅4
4 times 4 times 4 times 4 times 4 times 4 times 4
(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline
(45)2
Responses
(412)2
left parenthesis 4 superscript 12 baseline right parenthesis squared
4⋅4⋅4⋅4⋅4⋅4⋅4
4 times 4 times 4 times 4 times 4 times 4 times 4
(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline
(45)2
If the expression 4^10 is simplified using the Power Rule of Exponents, the equivalent expanded expression would be:
4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4
This expanded expression represents repeated multiplication of 4, a total of 10 times.
Therefore, the correct answer is:
4 times 4 times 4 times 4 times
4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4
This expanded expression represents repeated multiplication of 4, a total of 10 times.
Therefore, the correct answer is:
4 times 4 times 4 times 4 times
ur wrong
1 answer