we have 6^(-2) = 1 / 6^2.

Simplifying further, we have 1 / (6 * 6).

Which is equivalent to 1 / 36.

Correct! Simplifying 6^(-2) further gives 1 / (6 * 6) which is equivalent to 1 / 36.

To simplify the expression 6^(-2), you can apply the rule of exponents which states that a negative exponent is equivalent to the reciprocal of the positive exponent.

So, 6^(-2) is equal to 1 / 6^2.

Now, let's simplify further. 6^2 means 6 multiplied by itself, which is 6 * 6 = 36.

Therefore, 1 / 6^2 is equal to 1 / 36.