zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

化简 (\sqrt[3]{2x})^5

解答

化简

(3 2 x)^{5}

解答

2 3 2^{2} 3 x^{5}

求解步骤

(3 2 x)^{5}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

(3 2 x)^{3 + 2} = (3 2 x)^{3} (3 2 x)^{2}

= (3 2 x)^{3} (3 2 x)^{2}

使用指数法则:

(n a)^{n} = a,

假定

n i s o dd or a \geq 0

(3 2 x)^{3} = 2 x

= 2 x (3 2 x)^{2}

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

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

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

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

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

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

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

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

化简

x (3 x)^{2} : x^{\frac{5}{3}}

= 2^{\frac{2}{3}} \cdot 2 x^{\frac{5}{3}}

2^{\frac{2}{3}} \cdot 2 = 2^{\frac{5}{3}}

= 2^{\frac{5}{3}} x^{\frac{5}{3}}

2^{\frac{5}{3}} = 2 \cdot 2^{\frac{2}{3}}

= 2 \cdot 2^{\frac{2}{3}} x^{\frac{5}{3}}

2^{\frac{2}{3}} = 3 2^{2}

= 2 3 2^{2} 3 x^{5}

x^{\frac{5}{3}} = 3 x^{5}

= 2 3 2^{2} 3 x^{5}

流行的例子

化简 (sqrt(x)-sqrt(2))(sqrt(x)-sqrt(2))

s im pl i f y (x - 2) (x - 2)

化简 8x^2y^2(11x^5y^4)

s im pl i f y 8 x^{2} y^{2} (11 x^{5} y^{4})

化简 e^{-0.4^2}

s im pl i f y e^{- 0. 4^{2}}

化简 (\sqrt[4]{8})^4

s im pl i f y (48)^{4}

化简 sqrt(((27)/(y^3))^{-2/3)}

s im pl i f y (\frac{27}{y ^{3}})^{- \frac{2}{3}}