What is expand 5/(\sqrt[8]{1+4x)} ?

The solution to expand 5/(\sqrt[8]{1+4x)} is (5(1+4x)^{7/8})/(1+4x)

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expand 5/(\sqrt[8]{1+4x)}

expand

\frac{5 ( 1 + 4 x ) ^{\frac{7}{8}}}{1 + 4 x}

Solution steps

Multiply by the conjugate

\frac{( 1 + 4 x ) ^{\frac{7}{8}}}{( 1 + 4 x ) ^{\frac{7}{8}}}

= \frac{5 ( 1 + 4 x ) ^{\frac{7}{8}}}{1 + 4 x}

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

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\frac{- 3 x ^{2} + 4 x - 12}{( 3 x - 2 ) ^{2}}

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What is expand 5/(\sqrt[8]{1+4x)} ?
The solution to expand 5/(\sqrt[8]{1+4x)} is (5(1+4x)^{7/8})/(1+4x)