Question

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

93
9 cubed

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

97
9 superscript 7 baseline

910

Answer 1

To simplify the expression \(95 \cdot 92\) using the Product Rule of Exponents, we can add the exponents. The Product Rule states that \(a^m \cdot a^n = a^{m+n}\).

Applying this to your expression:

\[
95 \cdot 92 = 9^{5+2} = 9^7
\]

So, the equivalent form of \(95 \cdot 92\) is:

\[
9^7 \quad \text{(or } 9 \text{ superscript 7)}
\]

Thus, the correct response is:

**97 (9 superscript 7)**.