Use the Product Rule of Exponents to simplify the expression 2^4⋅2^2

.(1 point)

1 answer

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

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

In this case, we have:

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

So, the simplified expression is:

\[ 2^6 \]