Apply the Product Rule of Exponents to solve and simplify 3^3⋅3^2

as an equivalent expression.

1 answer

To simplify the expression using the Product Rule of Exponents, we use the rule that states:

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

In your case, we have:

\[ 3^3 \cdot 3^2 \]

Using the Product Rule, we can add the exponents:

\[ 3^3 \cdot 3^2 = 3^{3+2} = 3^5 \]

Now, we can calculate \(3^5\):

\[ 3^5 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 243 \]

So, the equivalent expression is:

\[ 3^5 \quad \text{or} \quad 243 \]