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

Question

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

Answer 1

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!