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.

Subtract from both sides of the equation.

Subtract from .

Solve for c (c+1)^(3/2)=64