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

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. (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

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (p³)^1/4/(p^5/4)²

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (p^1/5p^7/10p^1/2)/(p³)^-1/5