Question

Apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2.(1 point)%0D%0AResponses%0D%0A%0D%0A23%0D%0A2 cubed%0D%0A%0D%0A212%0D%0A2 superscript 12 baseline%0D%0A%0D%0A28%0D%0A2 superscript 8 baseline%0D%0A%0D%0A24

Answer 1

To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can simplify the expression \((2^6)^2\).

Using the Power Rule:
\[
(2^6)^2 = 2^{6 \cdot 2} = 2^{12}
\]

Thus, the equivalent expression for \((2^6)^2\) is \(2^{12}\).

So, the answer is \(2 \text{ superscript } 12 \text{ baseline}\).