1. Transform $(9^2)^{1/2}$ to radical form: $$(9^2)^{1/2} = \sqrt{9^2}$$ 2. Transform $(64)^{1/2}$: $$64^{1/2} = \sqrt{64}$$ 3. Transform $8^{2/3}$: $$8^{2/3} = \left(\sqrt[3]{8}\right)^2$$ 4. Transform $(8/27)^{2/3}$: $$\left(\frac{8}{27}\right)^{2/3} = \left(\sqrt[3]{\frac{8}{27}}\right)^2$$ 5. Transform $(8/27)^{-2/3}$: $$\left(\frac{8}{27}\right)^{-2/3} = \frac{1}{\left(\sqrt[3]{\frac{8}{27}}\right)^2}$$ 6. Transform $(16/81)^{-1/4}$: $$\left(\frac{16}{81}\right)^{-1/4} = \frac{1}{\sqrt[4]{\frac{16}{81}}}$$ 7. Transform $125^{1/3}$: $$125^{1/3} = \sqrt[3]{125}$$ 8. Transform $125^{-1/3}$: $$125^{-1/3} = \frac{1}{\sqrt[3]{125}}$$ 9. Transform $(27/125)^{-1/3}$: $$\left(\frac{27}{125}\right)^{-1/3} = \frac{1}{\sqrt[3]{\frac{27}{125}}}$$ 10. Transform $(81/625)^{-1/4}$: $$\left(\frac{81}{625}\right)^{-1/4} = \frac{1}{\sqrt[4]{\frac{81}{625}}}$$ 11. Transform $x^{1/2}y^{3/2}$: $$x^{1/2}y^{3/2} = \sqrt{x} \cdot y^{1} \cdot \sqrt{y} = y \sqrt{xy}$$ 12. Transform $mp^{1/2}$: $$mp^{1/2} = m \sqrt{p}$$ 13. Transform $8^{a/b}$: $$8^{a/b} = \left(\sqrt[b]{8}\right)^a$$ 14. Transform $9^{m/n}$: $$9^{m/n} = \left(\sqrt[n]{9}\right)^m$$ 15. Transform $2a^{1/5}$: $$2a^{1/5} = 2 \sqrt[5]{a}$$ 16. Transform $6x^{1/3}$: $$6x^{1/3} = 6 \sqrt[3]{x}$$ 17. Transform $3x^{3/4}$: $$3x^{3/4} = 3 \left(\sqrt[4]{x}\right)^3$$ 18. Transform $12m^{3/5}$: $$12m^{3/5} = 12 \left(\sqrt[5]{m}\right)^3$$ 19. Write $\sqrt{81}$ as rational exponent: $$\sqrt{81} = 81^{1/2}$$ 20. Write $\sqrt{25}$: $$\sqrt{25} = 25^{1/2}$$ 21. Write $\sqrt{4900}$: $$\sqrt{4900} = 4900^{1/2}$$ 22. Write $\sqrt[3]{64}$: $$\sqrt[3]{64} = 64^{1/3}$$ 23. Write $\sqrt[5]{243}$: $$\sqrt[5]{243} = 243^{1/5}$$ 24. Write $\sqrt[3]{73}$: $$\sqrt[3]{73} = 73^{1/3}$$