If the expression 4^10

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

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

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

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

4⋅4⋅4⋅4⋅4⋅4⋅4

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To simplify the expression \( 4^{10} \) using the Power Rule of Exponents, we rewrite it as \( (4^n)^m = 4^{n \cdot m} \).

We recognize that \( 10 \) can be expressed as \( 5 \cdot 2 \), so we can represent \( 4^{10} \) as \( (4^5)^2 \).

Thus, an equivalent expanded expression for \( 4^{10} \) is:

\( (4^5)^2 \)

The correct response is: (4^5)^2