Which expression is correctly developed to use the Power Rule of Exponents?(1 point) Responses (78)⋅(710) left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis 129 12 superscript 9 baseline (74)8 left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline (−5)0

1 answer

To use the Power Rule of Exponents, we need to identify expressions that involve raising a power to another power. The Power Rule states that \((a^m)^n = a^{m \cdot n}\).

Among the provided options, the expression that correctly utilizes this rule is:

\[ (7^4)^8 \]

This expression can be simplified using the Power Rule to:

\[ 7^{4 \cdot 8} = 7^{32} \]

The other expressions do not properly illustrate the Power Rule of Exponents.

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