Which of the following is equivalent to 6^-2

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

1 answer

The correct answer is 3. 1/36.

To find the equivalent expression of 6^-2, we need to invert the base and keep the exponent negative.

6^-2 is the same as (1/6)^2.

Squaring 1/6, we get 1/36.

Therefore, 6^-2 is equivalent to 1/36.