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 ((6lm^2)/(3l^3m^6))^2

解答

化简

(\frac{6 l m ^{2}}{3 l ^{3} m ^{6}})^{2}

解答

\frac{4}{l ^{4} m ^{8}}

求解步骤

(\frac{6 l m ^{2}}{3 l ^{3} m ^{6}})^{2}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 6 l m ^{2} ) ^{2}}{( 3 l ^{3} m ^{6} ) ^{2}}

化简

(6 l m^{2})^{2} : 36 l^{2} m^{4}

= \frac{36 l ^{2} m ^{4}}{( 3 l ^{3} m ^{6} ) ^{2}}

化简

(3 l^{3} m^{6})^{2} : 9 l^{6} m^{12}

= \frac{36 l ^{2} m ^{4}}{9 l ^{6} m ^{12}}

数字相除:

\frac{36}{9} = 4

= \frac{4 l ^{2} m ^{4}}{l ^{6} m ^{12}}

使用指数法则:

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

\frac{l ^{2}}{l ^{6}} = \frac{1}{l ^{6 - 2}}

= \frac{4 m ^{4}}{l ^{6 - 2} m ^{12}}

数字相减:

6 - 2 = 4

= \frac{4 m ^{4}}{l ^{4} m ^{12}}

使用指数法则:

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

\frac{m ^{4}}{m ^{12}} = \frac{1}{m ^{12 - 4}}

= \frac{4}{l ^{4} m ^{12 - 4}}

数字相减:

12 - 4 = 8

= \frac{4}{l ^{4} m ^{8}}

流行的例子

因式分解 3x^{-1/2}+4x^{1/2}+x^{3/2}

f a c t or 3 x^{- \frac{1}{2}} + 4 x^{\frac{1}{2}} + x^{\frac{3}{2}}

-3(x-4)<2(-2x-8)+12

- 3 (x - 4) < 2 (- 2 x - 8) + 12

因式分解 6x^2+12x-48

f a c t or 6 x^{2} + 12 x - 48

因式分解 x^2-2

f a c t or x^{2} - 2

化简 sqrt(-81)-sqrt(-144)

s im pl i f y - 81 - - 144