0. Review of Algebra

In Exercises 39–64, rationalize each denominator.7-----³√x

In Exercises 39–60, simplify by factoring. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers._____³√(x+y)⁴

In Exercises 47–54, find each cube root.________³√−27/1000

In Exercises 39–54, rewrite each expression with a positive rational exponent. Simplify, if possible.5xz^-⅓

In Exercises 53–58, simplify each expression using the power rule.(x⁶)¹⁰

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜ m² • ∜ m²

In Exercises 39–64, rationalize each denominator.5³√ -----y²

In Exercises 39–60, simplify by factoring. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers.___⁵√y¹⁸

In Exercises 45–54, rationalize the denominator. 11/(√7−√3)

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. y^8/y^12

In Exercises 55–58, find the indicated function values for each function.___f(x) = ³√x−1; f(28), f(9), f(0), f(−63)

In Exercises 53–58, simplify each expression using the power rule.(b⁴)⁻³

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

In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.3^¾ ⋅ 3^¼

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. √14 • √3pqr