Use the Product Rule of Exponents to simplify the expression 38⋅33 .(1 point)

Answer 1

To simplify the expression \( 38 \cdot 33 \) using the Product Rule of Exponents, we can add the exponents when we multiply like bases.

The Product Rule states that \( a^m \cdot a^n = a^{m+n} \).

In your case, both terms have the same base, which is 3.

So we have:

\[ 38 \cdot 33 = 3^8 \cdot 3^3 = 3^{8+3} = 3^{11} \]

Therefore, the simplified expression is:

\[ 3^{11} \]