Question

Applying the Power Rule of Exponents, what is the exponent in an equivalent form of ((1/6)^3)^3 ? Answer with a whole number for the exponent where the base is 1/6 .(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To apply the Power Rule of Exponents, you need to multiply the exponents.

The exponent in an equivalent form of ((1/6)^3)^3 is 3 * 3 = <<3*3=9>>9.

Therefore, the exponent in the equivalent form is 9.

Answer 2

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

To apply the Power Rule of Exponents, we need to multiply the exponents. In this case, we have (1/6)^3 raised to the power of 3. Multiplying the exponents gives us 3 * 3 = 9. Therefore, the exponent in an equivalent form of ((1/6)^3)^3 is 9.

Answer 3

[AI-generated answer — Explain Bot]

To find the exponent in an equivalent form of ((1/6)^3)^3, we can apply the Power Rule of Exponents, which states that when we raise a power to another power, we multiply the exponents.

First, let's simplify the expression ((1/6)^3)^3 step by step:

1) Evaluate the exponent within the innermost set of parentheses:
(1/6)^3 = (1/6) * (1/6) * (1/6) = 1/216

2) Now we can rewrite the expression as (1/216)^3.

To find the exponent in an equivalent form where the base is 1/6, we need to rewrite 1/216 as a power of 1/6. We can do this by dividing the numerator and denominator by 6:

1/216 = (1/6)^3 * (1/6)^3 * (1/6)^3 = (1/6)^(3+3+3) = (1/6)^9

Therefore, the exponent in an equivalent form of ((1/6)^3)^3, where the base is 1/6, is 9.