91Ó°ÊÓ

Simplify each of the following. Express final results using positive exponents only. For example,\(\left(2 x^{\frac{1}{2}}\right)\left(3 x^{\frac{1}{3}}\right)=6 x^{\frac{5}{6}}\). \(\frac{24 x^{\frac{3}{5}}}{6 x^{\frac{1}{3}}}\)

Change each radical to simplest radical form. \(\frac{2}{\sqrt[3]{9}}\)

Use the distributive property to help simplify each of the following. All variables represent positive real numbers. \(5 \sqrt{27 n}-\sqrt{12 n}-6 \sqrt{3 n}\)

Find the indicated products and quotients. Express final results using positive integral exponents only. \(\frac{-72 a^{2} b^{-4}}{6 a^{3} b^{-7}}\)

Change each radical to simplest radical form. \(\frac{3}{\sqrt[3]{3}}\)

Use the distributive property to help simplify each of the following. All variables represent positive real numbers. \(4 \sqrt{8 n}+3 \sqrt{18 n}-2 \sqrt{72 n}\)

Simplify each of the following. Express final results using positive exponents only. For example,\(\left(2 x^{\frac{1}{2}}\right)\left(3 x^{\frac{1}{3}}\right)=6 x^{\frac{5}{6}}\). \(\frac{18 x^{\frac{1}{2}}}{9 x^{\frac{1}{3}}}\)

Find the indicated products and quotients. Express final results using positive integral exponents only. \(\frac{108 a^{-5} b^{-4}}{9 a^{-2} b}\)

Rationalize the denominator and simplify. All variables represent positive real numbers. \(\frac{\sqrt{x}}{\sqrt{x}-1}\)

Change each radical to simplest radical form. \(\frac{\sqrt[3]{27}}{\sqrt[3]{4}}\)