Use the Product Rule of Exponents to simplify the expression 2 small4⋅2 small2

Question

.(1 point)

Answer 1

To simplify the expression \( 2^4 \cdot 2^2 \) using the Product Rule of Exponents, you add the exponents when the bases are the same.

The Product Rule states that:

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

In this case, the base \( a \) is \( 2 \), \( m = 4 \), and \( n = 2 \).

So, we add the exponents:

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

Thus, the simplified expression is:

\[ 2^6 \]