SOLUTION: Simplify. Your Answer should contain only positive exponents with no fractional exponents in the denominator. (((p^(1/2) q^(3/4))^(1/3)/(q^(1/3) r^(-3/2) q^(2/3) r^-2 p^(4/3) q

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Simplify. Your Answer should contain only positive exponents with no fractional exponents in the denominator. (((p^(1/2) q^(3/4))^(1/3)/(q^(1/3) r^(-3/2) q^(2/3) r^-2 p^(4/3) q      Log On


   

Question 715162: Simplify. Your Answer should contain only positive exponents with no fractional exponents in the denominator.
(((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)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(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)
=
Combine like terms in the NUM and DEN
=
=
Multiply by p^1/3
= %28p%5E%281%2F2%29+q%5E%281%2F4%29%29%2F%28q%5E%28-1%2F2%29+r%5E%28-3%2F4%29p%29
Multiply by q^1/2
= %28p%5E%281%2F2%29+q%5E%283%2F4%29%29%2F%28r%5E%28-3%2F4%29p%29
Multiply by r^3/4
= %28p%5E%281%2F2%29+q%5E%283%2F4%29r%5E%283%2F4%29%29%2Fp
= p^(1/2) q^(3/4)r^(3/4)/p