Question

Which of the following is equivalent to 6^−2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The negative exponent -2 means to take the reciprocal of the number raised to the positive exponent 2.

So, 6^-2 is equivalent to 1/6^2.

And, 1/6^2 is equivalent to 1/36.

Answer 2

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

To find the value of 6^−2, we can use the rule that states "a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent." So, 6^−2 can be rewritten as 1/6^2.

Now, to find 1/6^2, we need to calculate 6^2 first.

6^2 is equal to 6 multiplied by itself, which is 6×6 = 36.

So, 6^−2 is equivalent to 1/6^2, which simplifies to 1/36.

Therefore, the value of 6^−2 is 1/36.