Question

Using the Product Rule of Exponents, what is an equivalent form of (13)6⋅(13)3 ?(1 point)
Responses

(13)3
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis cubed

(13)9
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 9 baseline

(13)2
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis squared

(13)18

Answer 1

To simplify \((13)^6 \cdot (13)^3\) using the Product Rule of Exponents, you add the exponents when multiplying like bases:

\[
(13)^6 \cdot (13)^3 = (13)^{6+3} = (13)^9
\]

Thus, the equivalent form of \((13)^6 \cdot (13)^3\) is:

\((13)^9\)

So, the correct response is:

**(13)9**