Question

If n ^-2 = 1/16, then n could be which of the following?

-8^-2
-4^-2
-1/4^-2
1/4^-2
4^-2

Answer 1

1/16

Explanation:

Answer 2

`n^(-2) =(1)/(n^2)\\\\(1)/(n^2)=(1)/(16) \\\\n^2 =16\\\\n =\pm 4\\\\\boxed{\bf{n=4}}\\\\\boxed{\bf{n=-4}}\\\\\\\\\boxed{\bf{4^(-2) =(1)/(16)}}\\\\\boxed{\bf{(-4)^(-2) =(1)/(16)}}`