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

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

Solve: 5x^3/4- 15 = 0.

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?