Answer:
[tex]\frac{p^2}{r}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^mb^n)^{p}[/tex] = [tex]a^{mp}[/tex][tex]b^{np}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex](p^10r^-5)^{1/5}[/tex]
= [tex]p^{10(1/5)}[/tex] × [tex]r^{-5(1/5)}[/tex]
= p² × [tex]r^{-1}[/tex]
= p² × [tex]\frac{1}{r}[/tex]
= [tex]\frac{p^{2} }{r}[/tex]
