Question

Use the Product Rule of Exponents to simplify the expression 2 to the power 4 ⋅2 to the power 2
.(1 point)

Answer 1

To simplify the expression \( 2^4 \cdot 2^2 \) using the Product Rule of Exponents, you add the exponents of the same base:

\[
a^m \cdot a^n = a^{m+n}
\]

In this case, the base is \( 2 \), and the exponents are \( 4 \) and \( 2 \). So, we have:

\[
2^4 \cdot 2^2 = 2^{4+2} = 2^6
\]

Thus, the simplified expression is:

\[
\boxed{2^6}
\]