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

Responses

129
12 superscript 9 baseline

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

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

(−5)0

1 answer

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

\((7^4)^8\)

When applying the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), this expression can be simplified further:

\((7^4)^8 = 7^{4 \cdot 8} = 7^{32}\)

If you have other expressions in mind or need further clarification, please let me know!