Factor and simplify the algebraic expression
(x+5)^-1/5 + (x+5)^-6/5
a) (x+5)^ -1/5 + (x+5)^-6/5 b) (x+5)^6/5 (x+6)
c) (x+6) / (x+5)^6/5 d) (x+6)/ (x+5)^1/5
e) none of these
$\displaystyle (x+5)^{\frac{-1}{5}} + (x+5)^{\frac{-6}{5}} $
$\displaystyle \frac{1}{(x+5)^{\frac{1}{5}}} + \frac{1}{(x+5)^{\frac{6}{5}}}$
$\displaystyle \frac{1}{(x+5)^{\frac{1}{5}}} + \frac{1}{(x+5)\cdot (x+5)^{\frac{1}{5}}}$
$\displaystyle \left(\frac{1}{(x+5)^{\frac{1}{5}}}\right)\left(1 + \frac{1}{x+5} \right) $
$\displaystyle \left(\frac{1}{(x+5)^{\frac{1}{5}}} \right) \left(\frac{x+5+1}{x+5} \right) $
I think you can continue