91Ó°ÊÓ

Find the following products and express answers in simplest radical form. All variables represent nonnegative real numbers. \(3 \sqrt[3]{4}(2 \sqrt[3]{2}-6 \sqrt[3]{4})\)

Express each of the following in simplest radical form. All variables represent positive real numbers. \(\sqrt[3]{16 x^{4}}\)

Write each of the following using positive rational exponents. For example, \(\sqrt{a b}=(a b)^{\frac{1}{2}}=a^{\frac{1}{2}} b^{\frac{1}{2}}\). \(\sqrt[6]{a b^{5}}\)

Change each radical to simplest radical form. \(\frac{\sqrt{5}}{\sqrt{48}}\)

Simplify each expression. Express final results without using zero or negative integers as exponents. \(\left(a^{3} b^{-3} c^{-2}\right)^{-5}\)

Solve each equation. Don't forget to check each of your potential solutions. \(\sqrt{2 x-1}-\sqrt{x+3}=1\)

Find the following products and express answers in simplest radical form. All variables represent nonnegative real numbers. \(3 \sqrt[3]{3}(4 \sqrt[3]{9}+5 \sqrt[3]{7})\)

The Social Security program paid out approximately \(\$ 33,200,000,000\) in benefits in May 2000 . Express this number in scientific notation.

Express each of the following in simplest radical form. All variables represent positive real numbers. \(\sqrt[3]{54 x^{3}}\)

Write each of the following using positive rational exponents. For example, \(\sqrt{a b}=(a b)^{\frac{1}{2}}=a^{\frac{1}{2}} b^{\frac{1}{2}}\). \(\sqrt[5]{(2 x-y)^{3}}\)