what is developed to be equivalent to 6^-2

To find the value that is equivalent to 6 raised to the power of -2, you need to use the rule of negative exponents. According to this rule, any number raised to the power of -n is equal to 1 divided by that number raised to the power of n.

Using this rule, 6^-2 is equal to 1 divided by 6^2:

6^-2 = 1 / 6^2

Now, to evaluate 6^2:

6^2 = 6 * 6 = 36

Therefore:

6^-2 = 1 / 36

So, 6^-2 is equivalent to 1 divided by 36.