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

Responses

(−5) to the power of 0
left parenthesis negative 5 right parenthesis superscript 0 baseline

(7 to the power of 8)⋅(7 to the power of 10)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis

(7 to the power of 4) to the power of 8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline

12 to the power of 9

1 answer

The expression that is correctly developed to use the Power Rule of Exponents is:

\[(7^{4})^{8}\]

According to the Power Rule, \((a^{m})^{n} = a^{m \cdot n}\). This rule can be applied to this expression, but the others do not involve a situation where the Power Rule is applicable (especially the first and last options).

Thus, the best answer is \((7^{4})^{8}\).