0. Review of Algebra

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. 4a^5(a^-1)^3/(a^-2)^-2

In Exercises 59–76, find the indicated root, or state that the expression is not a real number.___⁶√−1

In Exercises 59–72, simplify each expression using the products-to-powers rule.(5x³y⁻⁴)⁻²

In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.(2x^⅕)⁵

In Exercises 65–74, simplify each radical expression and then rationalize the denominator.5m⁴n⁶√ -------------15m³n⁴

In Exercises 61–82, multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers.__ _3√15 ⋅ 5√6

In Exercises 59–76, find the indicated root, or state that the expression is not a real number.___−⁴√256

In Exercises 59–72, simplify each expression using the products-to-powers rule.(-2x⁻⁵y⁴z²)⁻⁴

In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.(25x⁴y⁶)^½

Simplify by reducing the index of the radical : [y^3]^(1/6)

Simplify each radical. Assume all variables represent positive real numbers. √192

In Exercises 59–76, find the indicated root, or state that the expression is not a real number.__⁶√64

In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.(x^½y^-⅗)^½

In Exercises 73–84, simplify each expression using the quotients-to-powers rule.(2/x)⁴

Simplify the radical expressions in Exercises 67–74, if possible. ⁵√64x^6/⁵√2x