What is (w^{7/8})/(w^{1/8)} ?

The solution to (w^{7/8})/(w^{1/8)} is w^{3/4}

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simplify (w^{7/8})/(w^{1/8)}

simplify

\frac{w ^{\frac{7}{8}}}{w ^{\frac{1}{8}}}

w^{\frac{3}{4}}

Solution steps

\frac{w ^{\frac{7}{8}}}{w ^{\frac{1}{8}}}

Apply exponent rule:

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

= w^{\frac{7}{8} - \frac{1}{8}}

Combine the fractions

\frac{7}{8} - \frac{1}{8} : \frac{3}{4}

= w^{\frac{3}{4}}

3 x - 7 x

\frac{3}{2} + (- \frac{1}{2})

1 0^{- 15}

\frac{- 3 v ^{- 8}}{- 2 ( v ^{- 2} ) ^{3}}