Using the Product Rule of Exponents, what is an equivalent form of (13)6⋅(13)3?(1 point)
Responses
(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
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 18 baseline
(13)3
The equivalent form of (13)^6⋅(13)^3 using the Product Rule of Exponents is (13)^9.
To find an equivalent form of (13)^6 * (13)^3 using the Product Rule of Exponents, we add the exponents.
Therefore, (13)^6 * (13)^3 can be written as (13)^(6 + 3), which simplifies to (13)^9.
So, the correct response is (13)^9.
To use the product rule of exponents, we need to multiply the bases and add the exponents.
In the given expression, (13)6⋅(13)3, the base is 13 and the exponents are 6 and 3.
So, to find an equivalent form of the expression using the product rule of exponents, we need to multiply the bases and add the exponents:
13^6 ⋅ 13^3 = 13^(6+3)
Simplifying the exponent (6+3) gives us:
13^9
Therefore, an equivalent form of (13)6⋅(13)3 is (13)9.