91Ó°ÊÓ

Simplify $a) 6^{\frac{5}{2}}.6^{\frac{1}{2}}b)n^{\frac{8}{10}}.n^{\frac{2}{10}}c)q^{\frac{2}{5}}.q^{\frac{13}{5}}.$

Simplify : $a)5^{\frac{1}{2}}.5^{\frac{7}{2}}b)c^{\frac{3}{4}}.c^{\frac{9}{4}}c)d^{\frac{3}{5}}.d^{\frac{2}{5}}.$

Simplify : $a){10}^{\frac{1}{3}}.{10}^{\frac{5}{3}}b)x^{\frac{5}{6}}.x^{\frac{7}{6}}c)y^{\frac{11}{8}}.y^{\frac{21}{8}}.$

Use the Laws of Exponents to Simplify Expressions with Rational Exponents

a)${\left(m^6\right)}^{\frac{5}{2}}$

b)${\left(n^9\right)}^{\frac{4}{3}}$

c)${\left(p^{12}\right)}^{\frac{3}{4}}$

Use the Laws of Exponents to Simplify Expressions with Rational Exponents

a)${\left(a^{12}\right)}^{\frac{1}{6}}$

b)${\left(b^{15}\right)}^{\frac{3}{5}}$

c)${\left(c^{11}\right)}^{\frac{1}{11}}$

Use the Laws of Exponents to Simplify Expressions with Rational Exponents

a)${\left(x^{12}\right)}^{\frac{2}{3}}$

b)${\left(y^{20}\right)}^{\frac{2}{5}}$

c)${\left(z^{16}\right)}^{\frac{1}{16}}$

Use the Laws of Exponents to Simplify Expressions with Rational Exponents

$\left(a\right){\left(h^6\right)}^{\frac{4}{3}}\left(b\right){\left(k^{12}\right)}^{\frac{3}{4}}\left(c\right){\left(j^{10}\right)}^{\frac{7}{5}}$

Use the Laws of Exponents to Simplify Expressions with Rational Exponents

$$\begin{gathered} \left(a\right)\frac{x^{{\displaystyle \frac{7}{2}}}}{x^{{\displaystyle \frac{5}{2}}}} \\ \left(b\right)\frac{y^{{\displaystyle \frac{5}{2}}}}{y^{{\displaystyle \frac{1}{2}}}} \\ \left(c\right)\frac{r^{{\displaystyle \frac{4}{5}}}}{r^{{\displaystyle \frac{9}{5}}}}. \end{gathered}$$

Use the Laws of Exponents to Simplify Expressions with Rational Exponents

$$\begin{gathered} a)\frac{s^{{\displaystyle \frac{11}{5}}}}{s^{{\displaystyle \frac{6}{5}}}} \\ b)\frac{z^{{\displaystyle \frac{7}{3}}}}{z^{{\displaystyle \frac{1}{3}}}} \\ c)\frac{w^{{\displaystyle \frac{2}{7}}}}{w^{{\displaystyle \frac{9}{7}}}} \end{gathered}$$