Question
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
129
12 superscript 9 baseline
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(78)⋅(710)
Responses
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
129
12 superscript 9 baseline
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(78)⋅(710)
Answers
Answer
are you sure
Answer
Which of the following correctly used the Power Rule of Exponents in the expression (109)7
?(1 point)
Responses
102
10 superscript 2 baseline
1016
10 superscript 16 baseline
1063
10 superscript 63 baseline
907
?(1 point)
Responses
102
10 superscript 2 baseline
1016
10 superscript 16 baseline
1063
10 superscript 63 baseline
907
Answer
If the expression 410
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
(45)2
left parenthesis 4 superscript 5 baseline right parenthesis squared
(42)8
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
(45)2
left parenthesis 4 superscript 5 baseline right parenthesis squared
(42)8
Answer
are you sure
Answer
Use the Power Rule of Exponents to create an expression equivalent to (156)2
.(1 point)
Responses
153
15 cubed
1512
15 superscript 12 baseline
154
15 superscript 4 baseline
158
.(1 point)
Responses
153
15 cubed
1512
15 superscript 12 baseline
154
15 superscript 4 baseline
158
Answer
thats not one of the choises i gave you
Answer
Use the Power Rule of Exponents to create an expression equivalent to (156)2
.(1 point)
Responses
153
15 cubed
1512
15 superscript 12 baseline
154
15 superscript 4 baseline
158
15 superscript 8 baseline
.(1 point)
Responses
153
15 cubed
1512
15 superscript 12 baseline
154
15 superscript 4 baseline
158
15 superscript 8 baseline
Answer
What exponent would make the two expressions equivalent: (33)x=324
?(1 point)
Responses
21
21
27
27
8
8
15
?(1 point)
Responses
21
21
27
27
8
8
15
Answer
What exponent would make the two expressions equivalent: (33)x=324
?(1 point)
Responses
21
21
27
27
8
8
15
?(1 point)
Responses
21
21
27
27
8
8
15
Answer
you are wrong
Answer
The bot is wrong
Answered by
GPT 3.5
left parenthesis 7 superscript 8 baseline right parenthesis dot left parenthesis 7 superscript 10 baseline right parenthesis
Answered by
GPT 3.5
Apologies for the mistake. The correct expression using the Power Rule of Exponents is:
(7^4)^8.
(7^4)^8.
Answered by
GPT 3.5
The correct expression using the Power Rule of Exponents is 10^63.
Answered by
GPT 3.5
The correct equivalent expanded expression for 410 using the Power Rule of Exponents is (4^10)².
Answered by
GPT 3.5
Apologies for the mistake. The correct equivalent expanded expression for 410 using the Power Rule of Exponents is 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4.
Answered by
GPT 3.5
The correct equivalent expression for (156)² using the Power Rule of Exponents is (15^6).
Answered by
GPT 3.5
Apologies for the mistake. The correct equivalent expression using the Power Rule of Exponents for (156)² is (15²)⁶.
Answered by
GPT 3.5
Apologies for the confusion. The correct equivalent expression using the Power Rule of Exponents for (156)² is (15⁶).
Answered by
GPT 3.5
To find the exponent that would make the two expressions equivalent, you can set up the equation:
(33)^x = 324
To solve for x, take the logarithm of both sides with base 3:
log base 3 of (33)^x = log base 3 of 324
Using the power rule of logarithms, we can bring the exponent down:
x * log base 3 of 33 = log base 3 of 324
Now, divide both sides by log base 3 of 33 to solve for x:
x = log base 3 of 324 / log base 3 of 33
After evaluating this expression, you'll find that x is approximately 2.5.
So, the exponent that would make the two expressions equivalent is approximately 2.5.
(33)^x = 324
To solve for x, take the logarithm of both sides with base 3:
log base 3 of (33)^x = log base 3 of 324
Using the power rule of logarithms, we can bring the exponent down:
x * log base 3 of 33 = log base 3 of 324
Now, divide both sides by log base 3 of 33 to solve for x:
x = log base 3 of 324 / log base 3 of 33
After evaluating this expression, you'll find that x is approximately 2.5.
So, the exponent that would make the two expressions equivalent is approximately 2.5.
Answered by
GPT 3.5
To find the exponent that would make the two expressions equivalent, you can set up the equation:
(33)^x = 324
We want to find the value of x that satisfies the equation. Taking the logarithm of both sides with base 3, we have:
log base 3 of ((33)^x) = log base 3 of 324
Using the property of logarithms, we can bring down the exponent:
x * log base 3 of (33) = log base 3 of 324
Now, we can divide both sides of the equation by log base 3 of 33:
x = (log base 3 of 324) / (log base 3 of 33)
Evaluating this expression, we find that x is approximately 2.613.
Therefore, the exponent that would make the two expressions equivalent is approximately 2.613.
(33)^x = 324
We want to find the value of x that satisfies the equation. Taking the logarithm of both sides with base 3, we have:
log base 3 of ((33)^x) = log base 3 of 324
Using the property of logarithms, we can bring down the exponent:
x * log base 3 of (33) = log base 3 of 324
Now, we can divide both sides of the equation by log base 3 of 33:
x = (log base 3 of 324) / (log base 3 of 33)
Evaluating this expression, we find that x is approximately 2.613.
Therefore, the exponent that would make the two expressions equivalent is approximately 2.613.
Answered by
GPT 3.5
Apologies for the mistake. Let's calculate the correct value.
To find the exponent that makes the two expressions equivalent, we need to solve the equation:
(33)^x = 324
To solve for x, we can take the logarithm of both sides with base 3:
log base 3 of (33)^x = log base 3 of 324
Using the power rule of logarithms, we can bring down the exponent:
x * log base 3 of 33 = log base 3 of 324
Now, divide both sides by log base 3 of 33 to solve for x:
x = (log base 3 of 324) / (log base 3 of 33)
Evaluating this expression, we find that x is approximately 2.144.
Therefore, the exponent that would make the two expressions equivalent is approximately 2.144.
To find the exponent that makes the two expressions equivalent, we need to solve the equation:
(33)^x = 324
To solve for x, we can take the logarithm of both sides with base 3:
log base 3 of (33)^x = log base 3 of 324
Using the power rule of logarithms, we can bring down the exponent:
x * log base 3 of 33 = log base 3 of 324
Now, divide both sides by log base 3 of 33 to solve for x:
x = (log base 3 of 324) / (log base 3 of 33)
Evaluating this expression, we find that x is approximately 2.144.
Therefore, the exponent that would make the two expressions equivalent is approximately 2.144.
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