Question

Which expression is equivalent to (6^-1)^2

1. 1/36
2. 6
3. 1/6
4. 36

Answer 1

[AI-generated answer — Bot GPT 3.5]

The expression (6^-1)^2 can be simplified as follows:

(6^-1)^2 = 6^(-1 × 2) = 6^-2 = 1/6^2 = 1/36.

So the equivalent expression is 1/36.

Therefore, the correct answer is 1. 1/36.

Answer 2

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

To simplify the expression (6^-1)^2, we need to start by simplifying the exponent first. The exponent -1 means the reciprocal of the number.

So, 6^-1 = 1/6.

Now, substitute this value back into the expression:

(1/6)^2 = (1/6)*(1/6) = 1/36.

Therefore, the expression (6^-1)^2 is equal to 1/36.

Option 1, 1/36, is the correct answer.

Answer 3

[AI-generated answer — Explain Bot]

To find the equivalent expression for (6^-1)^2, we need to simplify it step by step.

First, let's simplify (6^-1). A negative exponent indicates the reciprocal of the base. In this case, (6^-1) is equal to 1/6.

Now, we can substitute this value back into the original expression:

(1/6)^2

To square a fraction, we multiply the numerator by itself and the denominator by itself. So, (1/6)^2 can be written as (1^2) / (6^2).

Simplifying further:

1^2 = 1
6^2 = 36

Therefore, the equivalent expression for (6^-1)^2 is 1/36.

So, the correct answer is option 1: 1/36.