0. Review of Algebra

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (64^5/3)/(64^4/3)

Simplify each radical. Assume all variables represent positive real numbers. ⁹√∜7³

In Exercises 91–100, simplify using properties of exponents. (x^2/3)^3

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (y^7/3)(y^-4/3)

Perform the indicated operations. Assume all variables represent positive real numbers. 8√(2x) - √(8x) + √(72x)

In Exercises 85–116, simplify each exponential expression.(2a⁵)(-3a⁻⁷)

In Exercises 93–104, rationalize each numerator. Simplify, if possible.³√2x ³√y

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (k^1/3)/(k^2/3)(k^-1)

Perform the indicated operations. Assume all variables represent positive real numbers. 3√72m² - 5√32m² - 3√18m²

In Exercises 79–112, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation. Assume that all variables represent positive numbers.___ __⁴√a²b ⋅ ³√ab

In Exercises 85–116, simplify each exponential expression.(-¼x⁻⁴y⁵z⁻¹)(-12x⁻³y⁻¹z⁴)

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (z^3/4)/(z^5/4)(z^-2)

In Exercises 93–104, rationalize each numerator. Simplify, if possible.√x + 4 √x

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (x^1/4y^2/5)^20/x^2

Perform the indicated operations. Assume all variables represent positive real numbers. 2∛3 + 4∛24 - ∛81