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.