91Ó°ÊÓ

Multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. $$\sqrt[3]{x-y} \cdot \sqrt[3]{(x-y)^{7}}$$

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. $$\sqrt[3]{8 a^{6}}$$

In Exercises \(63-84,\) divide and simplify to the form \(a+b i\) $$\frac{8-5 i}{2 i}$$

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. $$\sqrt[3]{27 a^{12}}$$

simplify each expression. Include absolute value bars where necessary. $$\sqrt[3]{-125 x^{3}}$$

Solve each equation. $$\sqrt[3]{x \sqrt{x}}=9$$

In Exercises \(75-92,\) rationalize each denominator. Simplify, if possible. $$\frac{\sqrt{b}}{\sqrt{a}-\sqrt{b}}$$

Multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. $$\sqrt[3]{x-6} \cdot \sqrt[3]{(x-6)^{7}}$$

In Exercises \(63-84,\) divide and simplify to the form \(a+b i\) $$\frac{3+4 i}{5 i}$$

In Exercises \(63-84,\) divide and simplify to the form \(a+b i\) $$\frac{4+7 i}{-3 i}$$