apply the power rule of exponents to form an equivalent expression of (2^6) ^2

Answer 1

To apply the power rule of exponents, which states that \((a^m)^n = a^{m \cdot n}\), you can rewrite the expression \((2^6)^2\) as follows:

\[ (2^6)^2 = 2^{6 \cdot 2} = 2^{12} \]

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