Question

Write the simplified form of:

(13)^1/5 / (13)^1/3

Answer 1

FULL ANSWER WITH STEPS

$\frac{13^{\frac{1}{5}}}{13^{\frac{1}{3}}}$
$=13^{\frac{1}{5}-\frac{1}{3}}$    [∵ $\frac{x^{a}}{x^{b}}=x^{a-b}$]
$=13^{\frac{3-5}{15}}$
$=13^{\frac{-2}{15}}$
$=13^{-\frac{2}{15}}$
$=\frac{1}{13^{\frac{2}{15}}}$    [∵ $x^{-a}=\frac{1}{x^{a}}$]
Here's your answer ! 

Hope this may help you. 

If you have any doubt, then you can ask me in the comments. 

Answer 2

Answer:

13 to the power -2 upon 15