What is factor (x+4)^{-1/5}+(x+4)^{-6/5} ?

The solution to factor (x+4)^{-1/5}+(x+4)^{-6/5} is (x+5)/((4+x)^{6/5)}

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factor (x+4)^{-1/5}+(x+4)^{-6/5}

factor

(x + 4)^{- \frac{1}{5}} + (x + 4)^{- \frac{6}{5}}

\frac{x + 5}{( 4 + x ) ^{\frac{6}{5}}}

Solution steps

(x + 4)^{- \frac{1}{5}} + (x + 4)^{- \frac{6}{5}}

Apply exponent rule:

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

(x + 4)^{- \frac{1}{5}} = (x + 4)^{1 +- \frac{6}{5}} = (x + 4)^{1} (x + 4)^{- \frac{6}{5}}

= (x + 4)^{1} (x + 4)^{- \frac{6}{5}} + (x + 4)^{- \frac{6}{5}}

Factor out common term

(4 + x)^{- \frac{6}{5}}

= (4 + x)^{- \frac{6}{5}} (4 + x + 1)

Refine

= \frac{x + 5}{( x + 4 ) ^{\frac{6}{5}}}

- 3 \leq \frac{p}{2} < 0

6 x + 40 = 82

3 x + 4 (- 2 x + 3) = 27

x^{2} - 11 x - 12

36 x^{2} = 49

What is factor (x+4)^{-1/5}+(x+4)^{-6/5} ?
The solution to factor (x+4)^{-1/5}+(x+4)^{-6/5} is (x+5)/((4+x)^{6/5)}