What is x(x^{1/2}-x)^{-2} ?

The solution to x(x^{1/2}-x)^{-2} is x/((x^{1/2)-x)^2}

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply rule:

a \cdot 1 = a

x \cdot 1 = x

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

a^{4} b^{4} - 16

(5 + x) 2

a^{2} \cdot b^{2} - a^{2} - b^{2} + 1

9.8 \frac{m}{s ^{2}} x - 0.8025

(10 a + 20 b + 30 c) 2

What is x(x^{1/2}-x)^{-2} ?
The solution to x(x^{1/2}-x)^{-2} is x/((x^{1/2)-x)^2}