To remove the radical on the left side of the equation, raise both sides of the equation to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Raise to the power of .

Take the 5th root of each side of the equation to set up the solution for

Remove the perfect root factor under the radical to solve for .

Simplify .

Rewrite as .

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

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

Solve for x fourth root of (x-3)^5=32