Use the Product Rule of Exponents to simplify the expression 38⋅33 .(1 point) Remaining Attempts : 3

Answer 1

To simplify the expression \( 38 \cdot 33 \) using the Product Rule of Exponents, you can add the exponents since the bases are the same (both are 3).

The Product Rule of Exponents states that:

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

In this case:

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

So, the simplified expression is:

\[ 3^{11} \]