91Ó°ÊÓ

Find the indicated products and quotients. Express final results using positive integral exponents only. \(\frac{28 x^{-2} y^{-3}}{4 x^{-3} y^{-1}}\)

Simplify each of the following. Express final results using positive exponents only. For example,\(\left(2 x^{\frac{1}{2}}\right)\left(3 x^{\frac{1}{3}}\right)=6 x^{\frac{5}{6}}\). \(\left(8 x^{6} y^{3}\right)^{\frac{1}{3}}\)

Use the distributive property to help simplify each of the following. All variables represent positive real numbers. \(2 \sqrt{18 x}-3 \sqrt{8 x}-6 \sqrt{50 x}\)

Change each radical to simplest radical form. \(2 \sqrt[3]{81}\)

Use the distributive property to help simplify each of the following. All variables represent positive real numbers. \(4 \sqrt{20 x}+5 \sqrt{45 x}-10 \sqrt{80 x}\)

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

Rationalize the denominator and simplify. All variables represent positive real numbers. \(\frac{3}{\sqrt{x}+7}\)

Change each radical to simplest radical form. \(-3 \sqrt[3]{54}\)

Simplify each of the following. Express final results using positive exponents only. For example,\(\left(2 x^{\frac{1}{2}}\right)\left(3 x^{\frac{1}{3}}\right)=6 x^{\frac{5}{6}}\). \(\left(9 x^{2} y^{4}\right)^{\frac{1}{2}}\)

Rationalize the denominator and simplify. All variables represent positive real numbers. \(\frac{\sqrt{x}}{\sqrt{x}-5}\)