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Problem 33

Simplify the given expressions. Express all answers with positive exponents. $$B^{2 / 3} B^{1 / 2}$$

Problem 33

In Exercises \(5-52,\) express each of the given expressions in simplest form with only positive exponents. $$\left(\frac{3 a^{2}}{4 b}\right)^{-3}\left(\frac{4}{a}\right)^{-5}$$

Problem 33

Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. $$\sqrt[4]{400}$$

Problem 33

Express each radical in simplest form, rationalize denominators, and perform the indicated operations. $$\sqrt{\frac{a}{c^{5}}}-\sqrt{\frac{c}{a^{3}}}$$

Problem 33

Express each of the given expressions in simplest form with only positive exponents. $$\left(\frac{3 a^{2}}{4 b}\right)^{-3}\left(\frac{4}{a}\right)^{-5}$$

Problem 33

Perform the indicated operations, expressing answers in simplest form with rationalized denominators. $$\frac{\sqrt{2}-1}{\sqrt{7}-3 \sqrt{2}}$$

Problem 34

Express each radical in simplest form, rationalize denominators, and perform the indicated operations. $$\sqrt{\frac{14 x}{21 y}}+\sqrt{\frac{27 y}{8 x}}$$

Problem 34

Simplify the given expressions. Express all answers with positive exponents. $$x^{5 / 6} x^{-1 / 3}$$

Problem 34

In Exercises \(5-52,\) express each of the given expressions in simplest form with only positive exponents. $$\left(2 n p^{-2}\right)^{-2}\left(4^{-1} p^{2}\right)^{-1}$$

Problem 34

Express each of the given expressions in simplest form with only positive exponents. $$\left(2 n p^{-2}\right)^{-2}\left(4^{-1} p^{2}\right)^{-1}$$

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