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

Question

.(1 point)

Answer 1

To simplify the expression \( 2^4 \cdot 2^2 \) using the Product Rule of Exponents, we add the exponents together since the bases are the same. The Product Rule states that:

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

Applying this rule:

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

So, the simplified expression is:

\[ 2^6 \]