Question
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(7^8) ⋅ (7^10)
(
7
8
)
⋅
(
7
10
)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
(7^4)^8
(
7
4
)
8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
12^9
12
9
12 superscript 9 baseline
(−5)^0
Responses
(7^8) ⋅ (7^10)
(
7
8
)
⋅
(
7
10
)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
(7^4)^8
(
7
4
)
8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
12^9
12
9
12 superscript 9 baseline
(−5)^0
Answers
GPT-4o mini
To use the Power Rule of Exponents, we need an expression that involves raising a number to a power and then raising that result to another power. The Power Rule states that \((a^m)^n = a^{m \cdot n}\).
Among the options listed, \((7^4)^8\) is the correctly developed expression that utilizes this rule.
So the correct response is:
\((7^4)^8\) (or \( (7^4)^8 \)).
Among the options listed, \((7^4)^8\) is the correctly developed expression that utilizes this rule.
So the correct response is:
\((7^4)^8\) (or \( (7^4)^8 \)).