Question

Using the Power Rule of Exponents, what is an equivalent form of (2^8)^2?(1 point)%0D%0AResponses%0D%0A%0D%0A2(8−2)%0D%0A2 superscript left parenthesis 8 minus 2 right parenthesis baseline%0D%0A%0D%0A2(8⋅2)%0D%0A2 superscript left parenthesis 8 times 2 right parenthesis baseline%0D%0A%0D%0A2(8÷2)%0D%0A2 superscript left parenthesis 8 divided by 2 right parenthesis baseline%0D%0A%0D%0A2(8+2)

Answer 1

Using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can simplify \((2^8)^2\).

Applying this rule:

\[
(2^8)^2 = 2^{8 \cdot 2} = 2^{16}
\]

So the equivalent form of \((2^8)^2\) is \(2^{(8 \cdot 2)}\).

The correct response from your options is:

**2(8⋅2) or 2 raised to the power of (8 times 2)**.