Question

How do you factor and simplify this algebraic expression?

Answer 1

\[(x+7)^{-1/5}-(x+7)^{-6/5}\]

Answer 2

My skills are rusty lol

Answer 3

1/5 is root 5 right? but if it's negative?

Answer 4

that means the reciprocal

Answer 5

if it's negative, it's in the denominator

Answer 6

what @peachpi said
put it in the denominator

Answer 7

\[\frac{ 1 }{ \sqrt[5]{x+7} }\]

Answer 8

oops i meant factor out the common factor of
\[(x+7)^{-\frac{1}{5}}\] which is what you are asked to do

Answer 9

so you'd be left with \[(x+7)^{\frac{ 1 }{ 5 }}(1-(x+7)^{6})\]

Answer 10

there's a common factor?

Answer 11

that's supposed to be ^-1/5

Answer 12

\[(x+7)^{\frac{ -1 }{ 5 }}\] is the common factor as @satellite73 pointed out

Answer 13

hold up I factored it wrong