Question


Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses

(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline

(78)⋅(710)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis

(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline

129
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline

(78)⋅(710)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis

(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline

129
Answer
Which of the following correctly used the Power Rule of Exponents in the expression (109)7 ?(1 point)
Responses

907
90 superscript 7 baseline

1063
10 superscript 63 baseline

1016
10 superscript 16 baseline

102
Answer
If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses

(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline

(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
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

158
15 superscript 8 baseline

154
Answer
What exponent would make the two expressions equivalent: (33)x=324 ?(1 point)
Responses

27

15

21

8
Answered by GPT 3.5
The expression that is correctly developed to use the Power Rule of Exponents is (7^4)^8.
Answered by GPT 3.5
The correct answer is 10^63.
Answered by GPT 3.5
The equivalent expanded expression of 4^10 using the Power Rule of Exponents is 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4.
Answered by GPT 3.5
The expression that is equivalent to (156)^2 using the Power Rule of Exponents is (15)^12.
Answered by GPT 3.5
To find the exponent that would make the two expressions equivalent, we need to solve the equation (33)^x = 324.
Taking the logarithm of both sides, we have x*log(33) = log(324).
Now, dividing both sides by log(33), we get x = log(324) / log(33).
Calculating this expression, we find that x ≈ 1.504.
Rounding to the nearest whole number, the exponent that would make the two expressions equivalent is 2 (since 2 is the closest whole number to 1.504). Therefore, the correct answer is 2.