If the expression 4snmall10

Question

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

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

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

(412)2
left parenthesis 4 superscript 12 baseline right parenthesis squared

4⋅4⋅4⋅4⋅4⋅4⋅4

Answer 1

To simplify the expression \( 4^{5 \cdot 2} \) using the Power Rule of Exponents, you would multiply the exponents:

\[ 4^{5 \cdot 2} = 4^{10} \]

Now, among the responses provided, we need to find the equivalent expanded expression for \( 4^{10} \).

The expression \( 4^{10} \) can be expanded as:

\[ 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \]

This corresponds to the last option:

4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4

Thus, the correct equivalent expanded expression is:

4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4