Question

Using the Product Rule of Exponents, what is an equivalent form of 95⋅92
9
5
⋅
9
2
?(1 point)
Responses

93
9
3
9 cubed

9(52)
9
(
5
2
)
9 superscript left parenthesis Start Fraction 5 over 2 End Fraction right parenthesis baseline

910
9
10
9 superscript 10 baseline

97

Answer 1

Using the Product Rule of Exponents, which states that when multiplying two expressions with the same base, you can add the exponents, we can simplify \( 9^5 \cdot 9^2 \).

Here’s how you apply the rule:

\[
9^5 \cdot 9^2 = 9^{5 + 2} = 9^7
\]

So, the equivalent form of \( 9^5 \cdot 9^2 \) is:

\[
9^7
\]

The correct response is **97**.