第9章 9.2

(1)

$\sqrt{2} = 2^{\frac{1}{2}}$

(2)

$\sqrt[4]{3} = 3^{\frac{1}{4}}$

(3)

$\sqrt[4]{x^3} = x^{\frac{3}{4}}$

(4)

$\sqrt{2x} = (2x)^{\frac{1}{2}}$

(5)

$\sqrt[3]{(3x)^2} = (3x)^{\frac{2}{3}}$

(6)

$\frac{\sqrt{2}}{\sqrt[5]{x^2}} = 2^{\frac{1}{2}}x^{-\frac{2}{5}}$

(7)

$\frac{1}{\sqrt[4]{5^3}} = 5^{-\frac{3}{4}}$

(8)

$\frac{\sqrt{x^3}}{\sqrt[3]{4x^2}} = x^{\frac{3}{2}}(4x^2)^{-\frac{1}{3}} = 4^{-\frac{1}{3}}x^{\frac{5}{6}}$