(y^-2)^2=1/81 please solve

Question

(y^-2)^2=1/81 please solve and show steps

Answer 1

(y^-2)² = 1/81               Given

y^-4 = 1/81                   Multiply exponents to get the power of a power

1/y⁴ = 1/81                 Negative exponent means the variable switches places in the fraction

81 = y⁴                       Multiply both sides by 81y⁴

y = +/-3                     Take the 4th root of each side

Since you are taking an even root to get the answer, remember to write both the positive and negative roots.