y4=81

Take the 4th root of both sides of the equation to eliminate the exponent on the left side.

y=±814

Simplify the right side of the equation.

Rewrite 81 as 34.

y=±344

Pull terms out from under the radical, assuming positive real numbers.

y=±3

y=±3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

y=3

Next, use the negative value of the ± to find the second solution.

y=-3

The complete solution is the result of both the positive and negative portions of the solution.

y=3,-3

y=3,-3

y=3,-3

Solve for y y^4=81