Question

Apply the Product Rule of Exponents to solve and simplify 3 3 ⋅ 3 2
as an equivalent expression.(1 point) not 3 5

Answer 1

To apply the Product Rule of Exponents, you add the exponents when multiplying terms with the same base.

For the expression \(3^3 \cdot 3^2\), you can apply the rule as follows:

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

Now, simplify the exponent:

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

Since you mentioned not to present the answer as \(3^5\), the product of the terms can also be expressed in another equivalent form by calculating the value:

\[
3^3 = 27 \quad \text{and} \quad 3^2 = 9
\]

So,

\[
3^3 \cdot 3^2 = 27 \cdot 9 = 243
\]

Thus, an equivalent expression for \(3^3 \cdot 3^2\) is:

\[
243
\]