Question

How do you simplfy `((p^ (- 1/4) q^ (- 3/2)) ^ - 2 )/( ( 3^ - 1 p ^ -2 q ^(-2/3)) ^ -2)`?

Answer 1

`q^(5/3)/(9p^(7/2))`

Explanation:

First simplify, applying multiplication rule of exponents to get `p^(1/2) q^3/ (3^2 p^4 q^(4/3))`

=`q^(3-4/3)/(9 p^(4-1/2)`

=`q^(5/3)/(9p^(7/2))`