What is factor 7x^{-1}+2x^{-6} ?

The solution to factor 7x^{-1}+2x^{-6} is (7x^5+2)/(x^6)

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factor 7x^{-1}+2x^{-6}

factor

7 x^{- 1} + 2 x^{- 6}

\frac{7 x ^{5} + 2}{x ^{6}}

Solution steps

7 x^{- 1} + 2 x^{- 6}

Apply exponent rule:

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

x^{- 1} = x^{- 6} x^{5}

= 7 x^{- 6} x^{5} + 2 x^{- 6}

Factor out common term

x^{- 6}

= x^{- 6} (7 x^{5} + 2)

Refine

= \frac{7 x ^{5} + 2}{x ^{6}}

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What is factor 7x^{-1}+2x^{-6} ?
The solution to factor 7x^{-1}+2x^{-6} is (7x^5+2)/(x^6)