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

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. (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

Calculate each value mentally. (0.1^3/2)(90^3/2)

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [2(2x-3)^1/3 - (x-1)(2x-3)^-2/3] / [(2x-2)^-2/3]