Question

Use the Product Rule of Exponents to simplify the expression 2 4 exponents 2 too exponents

Answer 1

To simplify the expression \(2^4 \times 2^2\) using the Product Rule of Exponents, you can follow the rule which states that when multiplying two powers with the same base, you add the exponents:

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

Here, the base \(a\) is \(2\), \(m = 4\), and \(n = 2\).

So, we can add the exponents:

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

Thus, the simplified expression is:

\[
2^6
\]

If you want the numerical value, \(2^6 = 64\).