91Ó°ÊÓ

Simplify the given expressions. Express all answers with positive exponents. $$\left(16 a^{4} b^{3}\right)^{-3 / 4}$$

Write each expression in simplest radical form. If \(a\) radical appears in the denominator, rationalize the denominator. \(\sqrt[4]{4 a^{2}}\)

In Exercises \(5-52,\) express each of the given expressions in simplest form with only positive exponents. $$\left(R_{1}^{-1}+R_{2}^{-1}\right)^{-1}$$

Write each expression in simplest radical form. If \(a\) radical appears in the denominator, rationalize the denominator. \(\sqrt[6]{b^{3} c^{4}}\)

Express each of the given expressions in simplest form with only positive exponents. $$6^{-2}\left(2 a-b^{-2}\right)^{-1}$$

Perform the indicated operations, expressing answers in simplest form with rationalized denominators. $$(3+\sqrt{6-7 a})(2-\sqrt{6-7 a})$$

Simplify the given expressions. Express all answers with positive exponents. $$\left(32 C^{5} D^{4}\right)^{-2 / 5}$$

Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result. $$2 \sqrt{40}+3 \sqrt{90}-5 \sqrt{250}$$

In Exercises \(5-52,\) express each of the given expressions in simplest form with only positive exponents. $$6^{-2}\left(2 a-b^{-2}\right)^{-1}$$

In Exercises \(5-52,\) express each of the given expressions in simplest form with only positive exponents. $$\left(n^{-2}-2 n^{-1}\right)^{2}$$