Using the Zero Power Rule, any number (except for 0) raised to the power of 0 is equal to 1. Therefore, (-33)^0 = 1.
9⋅(−33)^0 + 3/2(8 − 27^0) can be simplified as:
9⋅1 + 3/2(8 - 1)
which further simplifies to:
9 + 3/2(7)
Then, applying the distributive property:
9 + (3/2)(7)
Multiplying 3/2 by 7:
9 + 21/2
Combining the two terms:
9+ 10.5
Adding:
19.5
Therefore, the equivalent expression is:
19.5
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8 − 27^0)
9⋅(−33)^0+3/2(8 − 27^0) = A . B + 3/2 ( C - D )
33 answers
whats A
In the expression 9⋅(−33)^0 + 3/2(8 − 27^0), A represents the value of 9⋅(−33)^0.
9⋅(−33)^0+3/2(8 − 27^0) = A . B + 3/2 ( C - D )
what is A B C D
what is A B C D
In the expression 9⋅(−33)^0+3/2(8 − 27^0) = A . B + 3/2 ( C - D ), the values of A, B, C, and D are:
A = 9
B = (-33)^0 = 1
C = 8
D = 27^0 = 1
A = 9
B = (-33)^0 = 1
C = 8
D = 27^0 = 1
so b is not 3/2
Apologies for the confusion.
In the expression 9⋅(−33)^0+3/2(8 − 27^0) = A . B + 3/2 ( C - D ), the values of A, B, C, and D are:
A = 9
B = (-33)^0 = 1
C = 8
D = 27^0 = 1
Apologies for the misunderstanding in the initial response. B is indeed 1 in this case.
In the expression 9⋅(−33)^0+3/2(8 − 27^0) = A . B + 3/2 ( C - D ), the values of A, B, C, and D are:
A = 9
B = (-33)^0 = 1
C = 8
D = 27^0 = 1
Apologies for the misunderstanding in the initial response. B is indeed 1 in this case.
15⋅8^0/5 + 4(7^0 − 6)=
To simplify the expression 15⋅8^0/5 + 4(7^0 − 6), let's start by evaluating the exponential terms:
8^0 = 1
7^0 = 1
Now we can simplify the expression further:
15⋅8^0/5 + 4(7^0 − 6)
= 15⋅1/5 + 4(1 − 6)
= 15/5 + 4(-5)
= 3 + (-20)
= -17
Therefore, the simplified expression is -17.
8^0 = 1
7^0 = 1
Now we can simplify the expression further:
15⋅8^0/5 + 4(7^0 − 6)
= 15⋅1/5 + 4(1 − 6)
= 15/5 + 4(-5)
= 3 + (-20)
= -17
Therefore, the simplified expression is -17.
Use the Power Rule of Exponents to simplify (10^3)^6
To simplify (10^3)^6 using the Power Rule of Exponents, we multiply the exponents:
(10^3)^6 = 10^(3*6) = 10^18
Therefore, (10^3)^6 simplifies to 10^18.
(10^3)^6 = 10^(3*6) = 10^18
Therefore, (10^3)^6 simplifies to 10^18.
If the expression 7^15 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?
If the expression 7^15 was simplified using the Power Rule of Exponents, an expanded equivalent expression would be:
(7^3)^5
Let me know if you need further assistance!
(7^3)^5
Let me know if you need further assistance!
If the expression 715 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)
Responses
(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis
(710)5
left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline
(718)3
left parenthesis 7 superscript 18 baseline right parenthesis cubed
(7⋅7⋅7⋅7⋅7)^10
Responses
(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis
(710)5
left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline
(718)3
left parenthesis 7 superscript 18 baseline right parenthesis cubed
(7⋅7⋅7⋅7⋅7)^10
If the expression 7^15 was simplified using the Power Rule of Exponents, an expanded equivalent expression would be:
(7⋅7⋅7⋅7⋅7)^10
This expanded expression indicates that we have 5 instances of "7" multiplied together, all raised to the power of 10.
Let me know if there is anything else I can help you with!
(7⋅7⋅7⋅7⋅7)^10
This expanded expression indicates that we have 5 instances of "7" multiplied together, all raised to the power of 10.
Let me know if there is anything else I can help you with!
Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9
To create a simplified equivalent expression for (19^4)^9 using the Power Rule of Exponents, we multiply the exponents:
(19^4)^9 = 19^(4*9) = 19^36
Therefore, a simplified equivalent expression for (19^4)^9 is 19^36.
(19^4)^9 = 19^(4*9) = 19^36
Therefore, a simplified equivalent expression for (19^4)^9 is 19^36.
Apply the Property of Negative Integer Exponents to solve 7^−3. The answer should not contain any exponent expression or decimals
To solve 7^(-3) using the Property of Negative Integer Exponents, we know that a negative exponent is equivalent to taking the reciprocal of the base raised to the positive exponent.
So, 7^(-3) is equal to 1 / 7^3.
Simplifying further, 7^3 is equal to 7 * 7 * 7, which is 343.
Therefore, 7^(-3) is equal to 1 / 343.
Hence, the answer for 7^(-3) without any exponent expression or decimals is 1/343.
So, 7^(-3) is equal to 1 / 7^3.
Simplifying further, 7^3 is equal to 7 * 7 * 7, which is 343.
Therefore, 7^(-3) is equal to 1 / 343.
Hence, the answer for 7^(-3) without any exponent expression or decimals is 1/343.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17 / 8^−14 with positive exponents only.
To generate an expression equivalent to 3^(-17) / 8^(-14) with positive exponents only, we can apply the Property of Negative Integer Exponents, which states that taking the reciprocal of a base raised to a negative exponent is equal to the base raised to the positive exponent.
So, 3^(-17) can be rewritten as 1 / 3^(17), and 8^(-14) can be rewritten as 1 / 8^(14).
Therefore, the expression 3^(-17) / 8^(-14) can be rewritten as (1 / 3^(17)) / (1 / 8^(14)).
Using the quotient rule of exponents, where a / b is equal to a * (1 / b), we multiply the expression by the reciprocal of the denominator:
(1 / 3^(17)) * (8^(14) / 1)
Simplifying further, the expression becomes:
8^(14) / 3^(17)
Now, the exponents are positive and the expression is equivalent to the original expression.
Hence, an expression equivalent to 3^(-17) / 8^(-14) with positive exponents only is 8^(14) / 3^(17).
So, 3^(-17) can be rewritten as 1 / 3^(17), and 8^(-14) can be rewritten as 1 / 8^(14).
Therefore, the expression 3^(-17) / 8^(-14) can be rewritten as (1 / 3^(17)) / (1 / 8^(14)).
Using the quotient rule of exponents, where a / b is equal to a * (1 / b), we multiply the expression by the reciprocal of the denominator:
(1 / 3^(17)) * (8^(14) / 1)
Simplifying further, the expression becomes:
8^(14) / 3^(17)
Now, the exponents are positive and the expression is equivalent to the original expression.
Hence, an expression equivalent to 3^(-17) / 8^(-14) with positive exponents only is 8^(14) / 3^(17).
answer
The expression equivalent to 3^(-17) / 8^(-14) with positive exponents only is 8^(14) / 3^(17).
does this / mean fratioin or diviting
In this context, the "/" symbol represents division. So, the expression 8^(14) / 3^(17) means the division of 8^(14) by 3^(17).
nooo fration
Apologies for the confusion. In this context, the "/" symbol does represent a fraction. The expression 8^(14) / 3^(17) can be read as "8 to the power of 14 divided by 3 to the power of 17". Therefore, it is a fraction.
just whats the answer
The answer, without using negative exponents or expressing the solution as a fraction, is:
8^14 * 3^17
8^14 * 3^17
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17 / 8^−14
To generate an expression equivalent to 3^(-17) / 8^(-14) using the Property of Negative Integer Exponents, we can apply the reciprocal property.
Taking the reciprocal of a fraction with a negative exponent switches the sign of the exponent, resulting in positive exponents.
So, 3^(-17) can be expressed as 1/3^(17), and 8^(-14) can be expressed as 1/8^(14).
Therefore, 3^(-17) / 8^(-14) can be simplified to (1/3^(17)) / (1/8^(14)).
Using the quotient rule of exponents, where a / b is equal to a * (1 / b), we can rewrite the above expression as:
(1/3^(17)) * (8^(14)/1)
Simplifying further, we have:
(8^(14)) / (3^(17))
Hence, the expression equivalent to 3^(-17) / 8^(-14) using the Property of Negative Integer Exponents is (8^14) / (3^17).
Taking the reciprocal of a fraction with a negative exponent switches the sign of the exponent, resulting in positive exponents.
So, 3^(-17) can be expressed as 1/3^(17), and 8^(-14) can be expressed as 1/8^(14).
Therefore, 3^(-17) / 8^(-14) can be simplified to (1/3^(17)) / (1/8^(14)).
Using the quotient rule of exponents, where a / b is equal to a * (1 / b), we can rewrite the above expression as:
(1/3^(17)) * (8^(14)/1)
Simplifying further, we have:
(8^(14)) / (3^(17))
Hence, the expression equivalent to 3^(-17) / 8^(-14) using the Property of Negative Integer Exponents is (8^14) / (3^17).
Apply the Properties of Integer Exponents to generate equivalent expressions to (7^−3)^7 ⋅ 7^20/6^−2 with only positive exponents, then solve the expression. Provide the answer as an improper fraction.
To generate equivalent expressions with only positive exponents, we can apply the Properties of Integer Exponents.
Step 1: Simplify (7^(-3))^7
Using the Power of a Power property, we multiply the exponents:
(7^(-3))^7 = 7^(-3*7) = 7^(-21)
Step 2: Simplify 7^20
This is already in simplified form.
Step 3: Simplify 6^(-2)
Using the Power of a Quotient property, we change the sign of the exponent and move the base to the denominator:
6^(-2) = 1 / 6^2 = 1/36
Now we can substitute the simplified expressions back into the original equation:
(7^(-3))^7 ⋅ 7^20/6^(-2) = 7^(-21) ⋅ 7^20/1/36
Using the Product of Powers property, we add the exponents when multiplying:
7^(-21) ⋅ 7^20/1/36 = 7^(-21+20)/1/36 = 7^(-1)/1/36 = 1 /(7^1) ⋅ 1/36 = 1/7 ⋅ 1/36 = 1/252
Therefore, the solution to the expression (7^(-3))^7 ⋅ 7^20/6^(-2) as an improper fraction is 1/252.
Step 1: Simplify (7^(-3))^7
Using the Power of a Power property, we multiply the exponents:
(7^(-3))^7 = 7^(-3*7) = 7^(-21)
Step 2: Simplify 7^20
This is already in simplified form.
Step 3: Simplify 6^(-2)
Using the Power of a Quotient property, we change the sign of the exponent and move the base to the denominator:
6^(-2) = 1 / 6^2 = 1/36
Now we can substitute the simplified expressions back into the original equation:
(7^(-3))^7 ⋅ 7^20/6^(-2) = 7^(-21) ⋅ 7^20/1/36
Using the Product of Powers property, we add the exponents when multiplying:
7^(-21) ⋅ 7^20/1/36 = 7^(-21+20)/1/36 = 7^(-1)/1/36 = 1 /(7^1) ⋅ 1/36 = 1/7 ⋅ 1/36 = 1/252
Therefore, the solution to the expression (7^(-3))^7 ⋅ 7^20/6^(-2) as an improper fraction is 1/252.
9 answers