1. Factoring involving Fractional exponents

Hey guys, i was wondering if someone cud help me out with this problem!

Factor and simplify

(x+4)^1/5 - (x+4)^6/5

need some help asap!

2. Re :

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

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

3. thanks for the reply and the answer... but i didnt understand how you did that, if you can just explain a little , i would really appreciate it , thank you very much

4. Take out the common factor which is $\displaystyle (x+4)^{\frac{1}{5}} .$

so the first part of the equation reduces to 1 and the second part has a power of 6 ( Note that $\displaystyle \frac{1}{5}\times6=\frac{6}{5}$)

5. Thank you!

$\displaystyle (x+4)^{\frac{1}{5}}-(x+4)^{\frac{6}{5}}$
$\displaystyle =(x+4)^{\frac{1}{5}}(1-(x+4)^{\color{red}6})$
yes, it should be noted already that $\displaystyle x^a \cdot x^b = x^{a + b}$