What is factor 5y^{-1}+7y^{-7} ?

The solution to factor 5y^{-1}+7y^{-7} is (5y^6+7)/(y^7)

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factor 5y^{-1}+7y^{-7}

factor

5 y^{- 1} + 7 y^{- 7}

\frac{5 y ^{6} + 7}{y ^{7}}

Solution steps

5 y^{- 1} + 7 y^{- 7}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

y^{- 1} = y^{- 7} y^{6}

= 5 y^{- 7} y^{6} + 7 y^{- 7}

Factor out common term

y^{- 7}

= y^{- 7} (5 y^{6} + 7)

Refine

= \frac{5 y ^{6} + 7}{y ^{7}}

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What is factor 5y^{-1}+7y^{-7} ?
The solution to factor 5y^{-1}+7y^{-7} is (5y^6+7)/(y^7)