化简 \sqrt[3]{(x/y)^2}

解答

化简

3 (\frac{x}{y})^{2}

(\frac{x}{y})^{\frac{2}{3}}

求解步骤

3 (\frac{x}{y})^{2}

使用根式运算法则:

n a = a^{\frac{1}{n}}

= ((\frac{x}{y})^{2})^{\frac{1}{3}}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

= (\frac{x}{y})^{2 \cdot \frac{1}{3}}

2 \cdot \frac{1}{3} = \frac{2}{3}

= (\frac{x}{y})^{\frac{2}{3}}

s im pl i f y y^{5} (7 y^{5})

s im pl i f y e^{(- 0.25 \cdot (0.5 8^{2}))}

j o in 2 (1 - x)

s im pl i f y 2 (x^{2} Δ x^{2})

s im pl i f y 140000 (1.06)^{- 10}