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

Answer 1

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

The Product Rule states that:

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

Applying this rule to our expression:

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

So, the simplified expression is:

\[ 2^6 \]