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. See Example 7. x^5/4 = 32

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

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

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (27/64)^-4/3

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (x^2/3)²/(x²)^7/3