1. $\sqrt[5]{m^3}$
2. $\dfrac{1}{\sqrt[4]{(10r)^3}}$
3. $\sqrt{(7x)^3}$
4. $\dfrac{1}{\sqrt[3]{(6b)^4}}$
5. $\dfrac{1}{\sqrt{(2x+3)^3}}$
6. $\sqrt[4]{(x-3y)^3}$
7. $5^{\frac{1}{3}}$
8. $2^{\frac{3}{5}}$
9. $(ab^5)^{\frac{1}{3}}$ or $a^{\frac{1}{3}}b^{\frac{5}{3}}$
10. $x^{\frac{3}{5}}$
11. $(a+5)^{\frac{2}{3}}$
12. $(a-2)^{\frac{3}{5}}$
13. $8^{\frac{2}{3}}\Rightarrow (2^3)^{\frac{2}{3}}\Rightarrow 2^2\text{ or }4$
14. $16^{\frac{1}{4}}\Rightarrow (2^4)^{\frac{1}{4}}\Rightarrow 2$
15. $\sqrt[3]{4^6}\Rightarrow (2^2)^{\frac{6}{3}}\Rightarrow 2^4\text{ or }16$
16. $\sqrt[5]{32^2}\Rightarrow (2^5)^{\frac{2}{5}}\Rightarrow 2^2\text{ or }4$
17. $x^2y^{\frac{1}{3}+\frac{2}{3}}\Rightarrow x^2y$
18. $4v^{\frac{2}{3}-1}\Rightarrow 4v^{-\frac{1}{3}}\text{ or }\dfrac{4}{v^{\frac{1}{3}}}$
19. ${a}^{-\frac{1}{2}}{b}^{-\frac{1}{2}}\Rightarrow \dfrac{1}{{a}^{\frac{1}{2}}{b}^{\frac{1}{2}}}$
20. 1
1. $\dfrac{\cancel{a^2}\cancel{b^0}1}{3\cancel{a^4}a^2}\Rightarrow \dfrac{1}{3a^2}$
2. $\dfrac{\cancel{2}x^{\frac{1}{2}}y^{\frac{1}{3}}}{\cancel{2}x^{\frac{4}{3}}y^{\frac{7}{4}}} \Rightarrow x^{\frac{1}{2}-\frac{4}{3}}y^{\frac{1}{3}-\frac{7}{4}}\Rightarrow x^{-\frac{5}{6}}y^{-\frac{17}{12}}\Rightarrow \dfrac{1}{x^{\frac{5}{6}}y^{\frac{17}{12}}}$
3. $\dfrac{a^{\frac{3}{4}}\cancel{b^{-1}}b^{\frac{7}{4}}}{3\cancel{b^{-1}}}\Rightarrow \dfrac{a^{\frac{3}{4}}b^{\frac{7}{4}}}{3}$
4. $2x^{-2+\frac{5}{4}-1}y^{\frac{5}{3}+\frac{5}{3}-\frac{1}{2}} \Rightarrow 2x^{-\frac{7}{4}}y^{\frac{17}{6}}\Rightarrow \dfrac{2y^{\frac{17}{6}}}{x^{\frac{7}{4}}}$
5. $\dfrac{3}{2}y^{-\frac{5}{4}- -1 - -\frac{1}{3}} \Rightarrow \dfrac{3}{2}y^{\frac{1}{12}}$
6. $\dfrac{ab^{\frac{1}{3}}\cancel{2}b^{-\frac{5}{4}}}{\cancel{4}2a^{-\frac{1}{2}}b^{-\frac{2}{3}}} \Rightarrow \dfrac{1}{2}a^{1- -\frac{1}{2}}b^{\frac{1}{3}-\frac{5}{4}- -\frac{2}{3}} \Rightarrow \dfrac{1}{2}a^{\frac{3}{2}}b^{-\frac{1}{4}}\Rightarrow \dfrac{a^{\frac{3}{2}}}{2b^{\frac{1}{4}}}$