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

Question

Responses

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

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

129
12 superscript 9 baseline

(7 to the power of 8) ⋅ (7 to the power of 10)

Answer 1

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

\((7^4)^8\)

The Power Rule states that \((a^m)^n = a^{mn}\). In this case, you can apply the rule by multiplying the exponents 4 and 8 to get:

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

The other expressions mentioned do not involve the application of the Power Rule in a correct manner.

Thus, the correct response is:

(7^4)^8