If the expression 4 to the power of 10 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

(4 to the power of 5) to the power of 2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(4 to the power of 12) to the power of 2
left parenthesis 4 superscript 12 baseline right parenthesis squared

(4 to the power of 2) to the power of 8

1 answer

The expression \( 4^{10} \) can be simplified using the Power Rule of Exponents, which states that \( a^{m} \cdot a^{n} = a^{m+n} \). However, since the question is about finding an equivalent expanded expression, you would apply the definition of exponentiation.

The equivalent expanded expression for \( 4^{10} \) is:

\( 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \)

Thus, the correct response is:

4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4