How do you simplify ((x^(1/2)y^-2)/(yx^(7/4)))^4?

1 Answer
Aug 26, 2017

1/(x^5 y^12)

Explanation:

((x^(1/2) y^-2)/(y x^(7/4)))^4

((x^(1/2 xx 4) y^(-2 xx 4))/(y^4 x^(7/4 xx 4)))

((x^2 y^-8)/(y^4 x^7))

x^2 y^-8 div y^4 x^7

Recall

a^x xx a^y = a^(x+y)

a^x div a^y = a^(x-y)

rArr x^(2 - 7) y^(-8 - 4)

rArr x^-5 y^-12

rArr 1/(x^5 y^12)