What is expand u(u^{0.5}+v^{0.5})^{-2} ?

The solution to expand u(u^{0.5}+v^{0.5})^{-2} is u/((u^{1/2)+v^{1/2})^2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand u(u^{0.5}+v^{0.5})^{-2}

expand

u (u^{0.5} + v^{0.5})^{- 2}

\frac{u}{( u ^{\frac{1}{2}} + v ^{\frac{1}{2}} ) ^{2}}

Solution steps

u (u^{0.5} + v^{0.5})^{- 2}

Apply exponent rule:

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

= \frac{1}{( u ^{0.5} + v ^{0.5} ) ^{2}} u

Multiply fractions:

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

= \frac{1 \cdot u}{( u ^{\frac{1}{2}} + v ^{\frac{1}{2}} ) ^{2}}

Multiply:

1 \cdot u = u

= \frac{u}{( u ^{\frac{1}{2}} + v ^{\frac{1}{2}} ) ^{2}}

- (4 π \cdot 1 0^{- 7}) (1.9 + 1.7)

8.4765 \cdot 1 0^{- 13}

(a^{3} b^{8}) (a^{7} b^{2} 7)

\frac{1}{2} e n t r e^{2}

(7 + x + e^{x})^{- 1}

What is expand u(u^{0.5}+v^{0.5})^{-2} ?
The solution to expand u(u^{0.5}+v^{0.5})^{-2} is u/((u^{1/2)+v^{1/2})^2}