1. $(2^4x^4y^6)^{\frac{1}{8}}\Rightarrow 2^{\frac{1}{2}}x^{\frac{1}{2}}y^{\frac{3}{4}}$
2. $(3^2x^2y^6)^{\frac{1}{4}}\Rightarrow 3^{\frac{1}{2}}x^{\frac{1}{2}}y^{\frac{3}{2}}$
3. $(2^6x^4y^6z^8)^{\frac{1}{12}}\Rightarrow 2^{\frac{1}{2}}x^{\frac{1}{3}}y^{\frac{1}{2}}z^{\frac{2}{3}}$
4. $\left(\dfrac{5^2x^3}{2^4x^5}\right)^{\frac{1}{8}}\Rightarrow \left(\dfrac{5^2}{2^4x^2}\right)^{\frac{1}{8}}\Rightarrow \dfrac{5^{\frac{1}{4}}}{2^{\frac{1}{2}}x^{\frac{1}{4}}}$
5. $\left(\dfrac{2^4x}{3^2y^4}\right)^{\frac{1}{6}}\Rightarrow \dfrac{2^{\frac{2}{3}}x^{\frac{1}{6}}}{3^{\frac{1}{3}}y^{\frac{2}{3}}}$
6. $(x^9y^{12}z^6)^{\frac{1}{15}}\Rightarrow x^{\frac{3}{5}}y^{\frac{4}{5}}z^{\frac{2}{5}}$
7. $(x^6y^9)^{\frac{1}{12}}\Rightarrow x^{\frac{1}{2}}y^{\frac{3}{4}}$
8. $(2^6x^8y^4)^{\frac{1}{10}}\Rightarrow 2^{\frac{3}{5}}x^{\frac{4}{5}}y^{\frac{2}{5}}$
9. $(x^6y^4z^2)^{\frac{1}{8}}\Rightarrow x^{\frac{3}{4}}y^{\frac{1}{2}}z^{\frac{1}{4}}$
10. $(5^2y^2)^{\frac{1}{4}}\Rightarrow 5^{\frac{1}{2}}y^{\frac{1}{2}}$
11. $(2^3x^3y^6)^{\frac{1}{9}}\Rightarrow 2^{\frac{1}{3}}x^{\frac{1}{3}}y^{\frac{2}{3}}$
12. $(3^4x^8y^{12})^{\frac{1}{16}}\Rightarrow 3^{\frac{1}{4}}x^{\frac{1}{2}}y^{\frac{3}{4}}$
13. $5^{\frac{1}{3}}\cdot 5^{\frac{1}{2}}\Rightarrow 5^{\frac{3}{6}}\cdot 5^{\frac{2}{6}}\Rightarrow 5^{\frac{5}{6}}$
14. $7^{\frac{1}{3}}\cdot 7^{\frac{1}{4}}\Rightarrow 7^{\frac{4}{12}}\cdot 7^{\frac{3}{12}}\Rightarrow 7^{\frac{7}{12}}$
15. $x^{\frac{1}{2}}\cdot 7^{\frac{1}{3}}x^{\frac{1}{3}}\Rightarrow 7^{\frac{1}{3}}x^{\frac{5}{6}}$
16. $y^{\frac{1}{3}}\cdot 3^{\frac{1}{5}}y^{\frac{1}{5}}\Rightarrow 3^{\frac{1}{5}}y^{\frac{8}{15}}$
17. $x^{\frac{1}{2}}\cdot x^{\frac{2}{3}}\Rightarrow x^{\frac{7}{6}}$
18. $3^{\frac{1}{4}}x^{\frac{1}{4}}x^{\frac{4}{2}}\Rightarrow 3^{\frac{1}{4}}x^{\frac{9}{4}}$
19. $x^{\frac{2}{5}}y^{\frac{1}{5}}x^{\frac{2}{2}}\Rightarrow x^{\frac{7}{5}}y^{\frac{1}{5}}$
20. $a^{\frac{1}{2}}b^{\frac{1}{2}}2^{\frac{1}{5}}a^{\frac{2}{5}}b^{\frac{2}{5}}\Rightarrow 2^{\frac{1}{5}}a^{\frac{9}{10}}b^{\frac{9}{10}}$
21. $x^{\frac{1}{4}}y^{\frac{2}{4}}\cdot x^{\frac{2}{3}}y^{\frac{1}{3}}\Rightarrow x^{\frac{11}{12}}y^{\frac{5}{6}}$
22. $3^{\frac{1}{5}}a^{\frac{2}{5}}b^{\frac{3}{5}}3^{\frac{2}{4}}a^{\frac{2}{4}}b^{\frac{1}{4}}\Rightarrow 3^{\frac{7}{10}}a^{\frac{9}{10}}b^{\frac{17}{20}}$
23. $a^{\frac{2}{4}}b^{\frac{1}{4}}c^{\frac{2}{4}}a^{\frac{2}{5}}b^{\frac{3}{5}}c^{\frac{1}{5}}\Rightarrow a^{\frac{9}{10}}b^{\frac{17}{20}}c^{\frac{7}{10}}$
24. $x^{\frac{2}{6}}y^{\frac{1}{6}}z^{\frac{3}{6}}x^{\frac{2}{5}}y^{\frac{1}{5}}z^{\frac{2}{5}}\Rightarrow x^{\frac{11}{15}}y^{\frac{11}{30}}z^{\frac{9}{10}}$