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 m^2(x(1-e^{(-y)/(zm)}))^2(1/(y^2))

解答

化简

m^{2} \cdot (x (1 - e^{\frac{- y}{z m}}))^{2} \cdot (\frac{1}{y ^{2}})

解答

\frac{m ^{2} x ^{2} ( - e ^{- \frac{y}{m z}} + 1 ) ^{2}}{y ^{2}}

求解步骤

m^{2} (x (1 - e^{\frac{- y}{z m}}))^{2} (\frac{1}{y ^{2}})

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

m^{2} (x (- e^{\frac{- y}{m z}} + 1))^{2} = (m x (- e^{\frac{- y}{m z}} + 1))^{2}

= \frac{1}{y ^{2}} (m x (- e^{\frac{- y}{m z}} + 1))^{2}

使用分式法则:

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

= \frac{1}{y ^{2}} (m x (- e^{- \frac{y}{m z}} + 1))^{2}

(m x (1 - e^{- \frac{y}{m z}}))^{2} = m^{2} x^{2} (1 - e^{- \frac{y}{m z}})^{2}

= \frac{1}{y ^{2}} m^{2} x^{2} (- e^{- \frac{y}{m z}} + 1)^{2}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot m ^{2} x ^{2} ( 1 - e ^{- \frac{y}{m z}} ) ^{2}}{y ^{2}}

乘以:

1 \cdot m^{2} = m^{2}

= \frac{m ^{2} x ^{2} ( - e ^{- \frac{y}{m z}} + 1 ) ^{2}}{y ^{2}}

流行的例子

化简 4e^{-22}

s im pl i f y 4 e^{- 22}

化简 \sqrt[w]{g^{14}}

s im pl i f y w g^{14}

化简 (8z^7)(5z^4)(6z^5)

s im pl i f y (8 z^{7}) (5 z^{4}) (6 z^{5})

化简-10000e^{-0.01(1.7*60)}

s im pl i f y - 10000 e^{- 0.01 (1.7 \cdot 60)}

化简 e^{-11.7}

s im pl i f y e^{- 11.7}