Use the Product Rule of Exponents to simplify the expression 3 squared 8 ⋅3 squared 3

Answer 1

To simplify the expression \(3^2 \cdot 3^3\) using the Product Rule of Exponents, we can use the rule that states:

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

In this case, we have:

• \(a = 3\)
• \(m = 2\)
• \(n = 3\)

Applying the Product Rule:

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

Now, we can express \(3^5\) as:

\[ 3^5 = 243 \]

So, the simplified expression is:

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