Question

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:

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