If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)

Responses

4⋅4⋅4⋅4⋅4⋅4⋅4
4 times 4 times 4 times 4 times 4 times 4 times 4

(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline

(45)2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(412)2

1 answer

To simplify \( 4^{10} \) using the Power Rule of Exponents, we can express it in various equivalent forms. However, to find an expanded expression, we'll need to expand \( 4^{10} \).

The expanded form of \( 4^{10} \) is:

\[ 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \]

This corresponds to the first response:

4⋅4⋅4⋅4⋅4⋅4⋅4

Other choices provided involve rewriting the expression but do not directly represent the expanded expression \( 4^{10} \). Thus, the correct answer is:

4 times 4 times 4 times 4 times 4 times 4 times 4.

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