Question

Is 6^-2 positive or negative. explain

Answer 1

$6^{-2}$ is a positive value.

This is because when you put a number to the power of a negative, the negative forms the reciprocal of the number, so $2^{-1}$ would be 1/2, as 2/1 × 1/2 = 1, which is what a reciprocal does.

When the negative is more than 1, you simply put the number to that power, and then form the reciprocal of that, which makes $6^{-2}$ equal to 1/36, which is positive.

I hope this helps! Let me know if you have any questions :)