Chapter 7

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ 5^{\frac{3}{2}} $$

In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \left(\frac{-49 u^{3} v^{4}}{-7 u^{4} v^{7}}\right)^{-1} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ 12^{\frac{5}{4}} $$

In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ x^{-1}+x^{-5} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ 6^{\frac{5}{2}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ (x y) \div\left(x y^{3}\right) $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{1}{5^{\frac{1}{2}}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \left(a^{2} b^{3}\right) \div\left(a b^{5}\right) $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \left(x^{13}\right)^{\frac{1}{7}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ x^{3} \div\left(x^{3} y^{4}\right) $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \left(25 x^{2} y\right)^{\frac{1}{2}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ 12 a b \div 2 a b^{2} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \left(50 a b^{4}\right)^{\frac{1}{2}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{1}{a^{-3}} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \left(16 a^{5} b^{6}\right)^{\frac{1}{4}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{3}{x^{4}} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{\left(x^{5} y^{6}\right)^{\frac{1}{7}}}{z^{-\frac{3}{7}}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{8}{4 a^{3}} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{5^{1} a^{\frac{2}{3}}}{4^{\frac{1}{3}}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{36}{9 x^{-5}} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \left(\frac{-32 x^{10}}{y^{4}}\right)^{\frac{1}{5}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{3 a^{0} b^{-3}}{a^{-1} b^{-3}} $$

In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{8^{\frac{1}{4}} a^{\frac{5}{6}} b^{\frac{3}{6}}}{\left(27 c^{4}\right)^{\frac{1}{6}}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{20 x^{0} y^{-5}}{4 x^{-1} y^{5}} $$

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \left(\frac{2 a^{\frac{1}{2}}}{3 a^{6}}\right)^{6} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero. $$ \frac{15 x^{-2} y^{2}}{3 x y^{5}} $$

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \left(\frac{x^{2} y}{3 x^{4} b^{2}}\right)^{\frac{2}{3}} $$

In \(64-75,\) write each quotient as a product without a denominator. The variables are not equal to zero.$$ \frac{25 a^{5} b^{-3}}{5^{0} a^{-1} b} $$

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \left(\frac{4 a^{4} b^{6}}{25 a^{-1} b}\right)^{\frac{1}{2}} $$

Find the value of \(a^{0}+(4 a)^{-1}+4 a^{-2}\) if \(a=2\)

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \left(\frac{8 a^{2} z^{6}}{27 x^{9} a^{-4} z^{-1}}\right)^{\frac{1}{3}} $$

Find the value of \((-5 a)^{0}-5 a^{-2}\) if \(a=3\)

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \sqrt{x^{2} y} \cdot \sqrt{x^{4} y^{3}} $$

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \frac{\sqrt[6]{a^{5}}}{\sqrt[5]{a^{5}}} $$

Show that \(3 \times 10^{-2}=\frac{3}{100}\)

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \frac{\sqrt[3]{11 x^{5} y^{4}}}{\sqrt{2 x^{5} y^{2}}} $$

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \frac{\sqrt[5]{48 x y^{2}}}{\sqrt[3]{6 x^{2} y^{4}}} $$

In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \left(\sqrt{2 x y^{2}}\right)\left(\sqrt[4]{16 x^{2} y}\right) $$