Question 715162
(p^(1/2) q^(3/4))^(1/3)/(q^(1/3) r^(-3/2) q^(2/3) r^-2 p^(4/3) q^-2 r^2)^(1/2)
= {{{(p^(1/6) q^(1/4))/(q^(1/6) r^(-3/4) q^(1/3) r^-1 p^(2/3) q^-1 r)}}}

Combine like terms in the NUM and DEN
= {{{(p^(1/6) q^(1/4))/(q^(1/6+1/3-1) r^(-3/4)p^(2/3))}}}
= {{{(p^(1/6) q^(1/4))/(q^(-1/2) r^(-3/4)p^(2/3))}}}
Multiply by p^1/3
= {{{(p^(1/2) q^(1/4))/(q^(-1/2) r^(-3/4)p)}}}
Multiply by q^1/2
= {{{(p^(1/2) q^(3/4))/(r^(-3/4)p)}}}
Multiply by r^3/4
= {{{(p^(1/2) q^(3/4)r^(3/4))/p}}}
= p^(1/2) q^(3/4)r^(3/4)/p