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 (1/3 x^{-2/3})^2

解答

化简

(\frac{1}{3} x^{- \frac{2}{3}})^{2}

解答

\frac{1}{9 x ^{\frac{4}{3}}}

求解步骤

(\frac{1}{3} x^{- \frac{2}{3}})^{2}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(\frac{1}{3})^{2} = \frac{1}{9}

= \frac{1}{9} (x^{- \frac{2}{3}})^{2}

使用指数法则:

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

假定

a \geq 0

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

= \frac{1}{9} x^{- \frac{2}{3} \cdot 2}

- \frac{2}{3} \cdot 2 = - \frac{4}{3}

= \frac{1}{9} x^{- \frac{4}{3}}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

x^{- \frac{4}{3}} = \frac{1}{x ^{\frac{4}{3}}}

= \frac{1}{9} \cdot \frac{1}{x ^{\frac{4}{3}}}

化简

\frac{1}{9} \cdot \frac{1}{x ^{\frac{4}{3}}} : \frac{1}{9 x ^{\frac{4}{3}}}

= \frac{1}{9 x ^{\frac{4}{3}}}

流行的例子

6 x^{2} - 6 x - 1 = 0

化简 (1+i)/i-3/(4-i)

s im pl i f y \frac{1 + i}{i} - \frac{3}{4 - i}

化简 7/(4-9i)

s im pl i f y \frac{7}{4 - 9 i}

z^{2} - 6 z + 9 = - 4

因式分解-4x^2+36

f a c t or - 4 x^{2} + 36