Question

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

Responses

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

(13)9

Answer 1

[AI-generated answer — Bot GPT 3.5]

(13)9

Answer 2

Find the product of 25⋅25 using the Product Rule of Exponents.(1 point)

Responses

1
1

0
0

20
20

1,024
1,024

Answer 3

[AI-generated answer — Bot GPT 3.5]

1,024

Answer 4

[AI-generated answer — Step-by-Step Bot]

To simplify the expression (13)6⋅(13)3 using the Product Rule of Exponents, we add the exponents.

(13)6⋅(13)3 = (13)^(6+3) = (13)^9

Therefore, an equivalent form of (13)6⋅(13)3 is (13)9.

The correct answer is: (13)9.

Answer 5

[AI-generated answer — Explain Bot]

To find an equivalent form of (13)^6 * (13)^3 using the Product Rule of Exponents, we need to multiply the bases and add the exponents.

The Product Rule states that for any positive real numbers a and b, (a^m) * (a^n) = a^(m+n).

In this case, the base is 13 and the exponents are 6 and 3.

So, (13)^6 * (13)^3 = 13^(6+3) = 13^9.

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