Move to the left side of the equation by subtracting it from both sides.

Add to both sides of the equation.

Raise each side of the equation to the power to eliminate the fractional exponent on the left side.

Simplify .

Simplify the expression.

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Raise to the power of .

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

Add to both sides of the equation.

Add and .

Solve by Factoring (x-6)^(5/2)=243