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

Question

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)18
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 18 baseline

(13)2

Answer 1

To use the Product Rule of Exponents, we can apply the formula:

\[ a^m \cdot a^n = a^{m+n} \]

In your case, we have:

\[ (13)^6 \cdot (13)^3 \]

Applying the Product Rule:

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

Therefore, the equivalent form of \((13)^6 \cdot (13)^3\) is \((13)^9\).

The correct response is (13)9.