Question

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

910
9 superscript 10 baseline

97
9 superscript 7 baseline

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

93

Answer 1

Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can combine the exponents for the base of 9.

For \( 9^5 \cdot 9^2 \):

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

Therefore, the equivalent form is \( 9^7 \) (or "9 superscript 7 baseline").

So, the correct response is:

**9^7**