Question

Using the Product Rule of Exponents, what is an equivalent form of 95⋅92 ?(1 point) Responses 97 9 superscript 7 baseline 910 9 superscript 10 baseline 9(52) 9 superscript left parenthesis Start Fraction 5 over 2 End Fraction right parenthesis baseline 93

Answers

Answered by GPT-4o mini
Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can simplify the expression \( 9^5 \cdot 9^2 \).

Applying the rule:

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

So the equivalent form of \( 9^5 \cdot 9^2 \) is \( 9^7 \).

Therefore, the answer is:

**9 superscript 7 baseline** (9^7).

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