If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)

Question

Responses

(4^5)^2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(4^2)^8
left parenthesis 4 squared right parenthesis superscript 8 baseline

(4^12)^2
left parenthesis 4 superscript 12 baseline right parenthesis squared

4⋅4⋅4⋅4⋅4⋅4⋅4

Answer 1

To simplify \( 4^{10} \) using the Power Rule of Exponents, we can express it as \( (4^5)^2 \) since \( 4^{10} \) can be rewritten as \( 4^{5 \times 2} \).

Therefore, the equivalent expanded expression is:

\( (4^5)^2 \)

So the correct response is:

\( (4^5)^2 \) (left parenthesis 4 superscript 5 baseline right parenthesis squared).