Using the Product Rule of Exponents, what is an equivalent form of 95⋅92

Question

?(1 point)
Responses

97
9 superscript 7 baseline

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

910
9 superscript 10 baseline

93
9 cubed

Answer 1

Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can simplify the expression \( 9^5 \cdot 9^2 \) as follows:

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

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

\( 9^7 \)

The correct response is:

9 superscript 7 baseline