9.8 Rational exponents  (Page 4/7)

ⓐ $x^{\frac{1}{2}}$
ⓑ $y^{\frac{1}{3}}$
ⓒ $z^{\frac{1}{4}}$

ⓐ $r^{\frac{1}{2}}$
ⓑ $s^{\frac{1}{3}}$
ⓒ $t^{\frac{1}{4}}$

ⓐ $u^{\frac{1}{5}}$
ⓑ $v^{\frac{1}{9}}$
ⓒ $w^{\frac{1}{20}}$

ⓐ $g^{\frac{1}{7}}$
ⓑ $h^{\frac{1}{5}}$
ⓒ $j^{\frac{1}{25}}$

ⓐ $-\sqrt[7]{x}$
ⓑ $\sqrt[9]{y}$
ⓒ $\sqrt[5]{f}$

ⓐ $\sqrt[8]{r}$
ⓑ
ⓒ $\sqrt[4]{t}$

ⓐ $\sqrt[3]{a}$
ⓑ
ⓒ $\sqrt{c}$

ⓐ $\sqrt[5]{u}$
ⓑ $\sqrt{v}$
ⓒ

ⓐ $\sqrt[3]{7c}$
ⓑ $\sqrt[7]{12d}$
ⓒ $3\sqrt[4]{5f}$

ⓐ $\sqrt[4]{5x}$
ⓑ $\sqrt[8]{9y}$
ⓒ $7\sqrt[5]{3z}$

ⓐ $\sqrt{21p}$
ⓑ $\sqrt[4]{8q}$
ⓒ $4\sqrt[6]{36r}$

ⓐ $\sqrt[3]{25a}$
ⓑ $\sqrt{3b}$
ⓒ

ⓐ ${81}^{\frac{1}{2}}$
ⓑ ${125}^{\frac{1}{3}}$
ⓒ ${64}^{\frac{1}{2}}$

ⓐ ${625}^{\frac{1}{4}}$
ⓑ ${243}^{\frac{1}{5}}$
ⓒ ${32}^{\frac{1}{5}}$

ⓐ ${16}^{\frac{1}{4}}$
ⓑ ${16}^{\frac{1}{2}}$
ⓒ ${3125}^{\frac{1}{5}}$

ⓐ ${216}^{\frac{1}{3}}$
ⓑ ${32}^{\frac{1}{5}}$
ⓒ ${81}^{\frac{1}{4}}$

ⓐ ${\left(\mathrm{-216}\right)}^{\frac{1}{3}}$
ⓑ $\text{−}{216}^{\frac{1}{3}}$
ⓒ ${\left(216\right)}^{-\frac{1}{3}}$

ⓐ ${\left(\mathrm{-243}\right)}^{\frac{1}{5}}$
ⓑ $\text{−}{243}^{\frac{1}{5}}$
ⓒ ${\left(243\right)}^{-\frac{1}{5}}$

ⓐ ${\left(\mathrm{-1}\right)}^{\frac{1}{3}}$
ⓑ ${\mathrm{-1}}^{\frac{1}{3}}$
ⓒ ${\left(1\right)}^{-\frac{1}{3}}$

ⓐ ${\left(\mathrm{-1000}\right)}^{\frac{1}{3}}$
ⓑ $\text{−}{1000}^{\frac{1}{3}}$
ⓒ ${\left(1000\right)}^{-\frac{1}{3}}$

ⓐ ${\left(\mathrm{-81}\right)}^{\frac{1}{4}}$
ⓑ $\text{−}{81}^{\frac{1}{4}}$
ⓒ ${\left(81\right)}^{-\frac{1}{4}}$

ⓐ ${\left(\mathrm{-49}\right)}^{\frac{1}{2}}$
ⓑ $\text{−}{49}^{\frac{1}{2}}$
ⓒ ${\left(49\right)}^{-\frac{1}{2}}$

ⓐ ${\left(\mathrm{-36}\right)}^{\frac{1}{2}}$
ⓑ $-{36}^{\frac{1}{2}}$
ⓒ ${\left(36\right)}^{-\frac{1}{2}}$

ⓐ ${\left(\mathrm{-1}\right)}^{\frac{1}{4}}$
ⓑ ${\left(1\right)}^{-\frac{1}{4}}$
ⓒ $\text{−}{1}^{\frac{1}{4}}$

ⓐ ${\left(\mathrm{-100}\right)}^{\frac{1}{2}}$
ⓑ $\text{−}{100}^{\frac{1}{2}}$
ⓒ ${\left(100\right)}^{-\frac{1}{2}}$

ⓐ ${\left(\mathrm{-32}\right)}^{\frac{1}{5}}$
ⓑ ${\left(243\right)}^{-\frac{1}{5}}$
ⓒ $\text{−}{125}^{\frac{1}{3}}$

ⓐ $\sqrt{m^5}$
ⓑ $\sqrt[3]{n^2}$
ⓒ $\sqrt[4]{p^3}$

ⓐ $\sqrt[4]{r^7}$
ⓑ $\sqrt[5]{s^3}$
ⓒ $\sqrt[3]{t^7}$

ⓐ $\sqrt[5]{u^2}$
ⓑ $\sqrt[5]{v^8}$
ⓒ $\sqrt[9]{w^4}$

ⓐ $\sqrt[3]{a}$
ⓑ $\sqrt{b^5}$
ⓒ $\sqrt[3]{c^5}$

ⓐ ${16}^{\frac{3}{2}}$
ⓑ $8^{\frac{2}{3}}$
ⓒ ${\mathrm{10,000}}^{\frac{3}{4}}$

ⓐ ${1000}^{\frac{2}{3}}$
ⓑ ${25}^{\frac{3}{2}}$
ⓒ ${32}^{\frac{3}{5}}$

ⓐ ${27}^{\frac{5}{3}}$
ⓑ ${16}^{\frac{5}{4}}$
ⓒ ${32}^{\frac{2}{5}}$

ⓐ ${16}^{\frac{3}{2}}$
ⓑ ${125}^{\frac{5}{3}}$
ⓒ ${64}^{\frac{4}{3}}$

ⓐ ${32}^{\frac{2}{5}}$
ⓑ ${27}^{-\frac{2}{3}}$
ⓒ ${25}^{-\frac{3}{2}}$

ⓐ ${64}^{\frac{5}{2}}$
ⓑ ${81}^{-\frac{3}{2}}$
ⓒ ${27}^{-\frac{4}{3}}$

ⓐ ${25}^{\frac{3}{2}}$
ⓑ $9^{-\frac{3}{2}}$
ⓒ ${\left(\mathrm{-64}\right)}^{\frac{2}{3}}$

ⓐ ${100}^{\frac{3}{2}}$
ⓑ ${49}^{-\frac{5}{2}}$
ⓒ ${\left(\mathrm{-100}\right)}^{\frac{3}{2}}$

ⓐ $\text{−}{9}^{\frac{3}{2}}$
ⓑ $\text{−}{9}^{-\frac{3}{2}}$
ⓒ ${\left(\mathrm{-9}\right)}^{\frac{3}{2}}$

ⓐ $\text{−}{64}^{\frac{3}{2}}$
ⓑ $\text{−}{64}^{-\frac{3}{2}}$
ⓒ ${\left(\mathrm{-64}\right)}^{\frac{3}{2}}$

ⓐ $\text{−}{100}^{\frac{3}{2}}$
ⓑ $\text{−}{100}^{-\frac{3}{2}}$
ⓒ ${\left(\mathrm{-100}\right)}^{\frac{3}{2}}$

ⓐ $\text{−}{49}^{\frac{3}{2}}$
ⓑ $\text{−}{49}^{-\frac{3}{2}}$
ⓒ ${\left(\mathrm{-49}\right)}^{\frac{3}{2}}$

ⓐ $4^{\frac{5}{8}}·4^{\frac{11}{8}}$
ⓑ $m^{\frac{7}{12}}·m^{\frac{17}{12}}$
ⓒ $p^{\frac{3}{7}}·p^{\frac{18}{7}}$

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

ⓐ $5^{\frac{1}{2}}·5^{\frac{7}{2}}$
ⓑ $c^{\frac{3}{4}}·c^{\frac{9}{4}}$
ⓒ $d^{\frac{3}{5}}·d^{\frac{2}{5}}$

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

ⓐ ${\left(m^6\right)}^{\frac{5}{2}}$
ⓑ ${\left(n^9\right)}^{\frac{4}{3}}$
ⓒ ${\left(p^{12}\right)}^{\frac{3}{4}}$

ⓐ ${\left(a^{12}\right)}^{\frac{1}{6}}$
ⓑ ${\left(b^{15}\right)}^{\frac{3}{5}}$
ⓒ ${\left(c^{11}\right)}^{\frac{1}{11}}$

ⓐ ${\left(x^{12}\right)}^{\frac{2}{3}}$
ⓑ ${\left(y^{20}\right)}^{\frac{2}{5}}$
ⓒ ${\left(z^{16}\right)}^{\frac{1}{16}}$

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

ⓐ $\frac{x^{\frac{7}{2}}}{x^{\frac{5}{2}}}$
ⓑ $\frac{y^{\frac{5}{2}}}{y^{\frac{1}{2}}}$
ⓒ $\frac{r^{\frac{4}{5}}}{r^{\frac{9}{5}}}$

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

ⓐ $\frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}}$
ⓑ $\frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}}$
ⓒ $\frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}}$

ⓐ $\frac{u^{\frac{13}{9}}}{u^{\frac{4}{9}}}$
ⓑ $\frac{r^{\frac{15}{7}}}{r^{\frac{8}{7}}}$
ⓒ $\frac{n^{\frac{3}{5}}}{n^{\frac{8}{5}}}$

ⓐ ${\left(9p^{\frac{2}{3}}\right)}^{\frac{5}{2}}$
ⓑ ${\left(27q^{\frac{3}{2}}\right)}^{\frac{4}{3}}$

ⓐ ${\left(81r^{\frac{4}{5}}\right)}^{\frac{1}{4}}$
ⓑ ${\left(64s^{\frac{3}{7}}\right)}^{\frac{1}{6}}$

ⓐ ${\left(16u^{\frac{1}{3}}\right)}^{\frac{3}{4}}$
ⓑ ${\left(100v^{\frac{2}{5}}\right)}^{\frac{3}{2}}$

ⓐ ${\left(27m^{\frac{3}{4}}\right)}^{\frac{2}{3}}$
ⓑ ${\left(625n^{\frac{8}{3}}\right)}^{\frac{3}{4}}$