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

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

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expand x(x^2+1)^{-1/2}

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

(15 \cdot 1 0^{- 12}) (e^{\frac{0.6}{0.026}} - 1) (25)

6.0033 e^{- 0.03 x}

5 r^{2} s^{2} (2 r - 3 s)

(24 m^{5} n^{6} - 48 m^{6} n^{5}) (12 m^{5} n^{5})

83 e^{- 3 t}

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