Question

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 (412)2 left parenthesis 4 superscript 12 baseline right parenthesis squared (45)2 left parenthesis 4 superscript 5 baseline right parenthesis squared (42)8

Answer 1

To simplify the expression \( 4^{10} \) using the Power Rule of Exponents, we can break it down into its expanded form.

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

\( 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \)

So, the equivalent expanded expression for \( 4^{10} \) is:

4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 (or 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4).

The other options given (like \( (4^{12})^2 \), \( (4^5)^2 \), and \( (4^2)^8 \)) are incorrect representations of \( 4^{10} \).