Solve for x: x^(5/6) + x^(2/3) - 2x^(1/2) = 0

In Exercises 91–100, find all values of x satisfying the given conditions. $y = (x - 5)^{\(\frac{3}{2}\)} \(\quad\) \(\text{and}\) \(\quad\) y = 125$

Exercises 177–179 will help you prepare for the material covered in the next section. If $-8$ is substituted for x in the equation $5x^{\frac{2}{3}}+11x^{\frac{1}{3}}+2=0$, is the resulting statement true or false?

Solve each equation. x^3/2 = 125

Solve each equation for the specified variable. (Assume all denominators are nonzero.) x^2/3+y^2/3=a^2/3, for y

Solve each equation. (x-4)^2/5 = 9

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 100^3/2

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. -81^3/4