What is (1+4x)^{(-1)/2} ?

The solution to (1+4x)^{(-1)/2} is 1/((1+4x)^{1/2)}

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simplify (1+4x)^{(-1)/2}

simplify

(1 + 4 x)^{\frac{- 1}{2}}

\frac{1}{( 1 + 4 x ) ^{\frac{1}{2}}}

Solution steps

(1 + 4 x)^{\frac{- 1}{2}}

Apply the fraction rule:

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

\frac{- 1}{2} = - \frac{1}{2}

= (1 + 4 x)^{- \frac{1}{2}}

Apply exponent rule:

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

(1 + 4 x)^{- \frac{1}{2}} = \frac{1}{( 1 + 4 x ) ^{\frac{1}{2}}}

= \frac{1}{( 1 + 4 x ) ^{\frac{1}{2}}}

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