Assuming that `x , y` are positive real numbers, simplify each of the following: (i)`sqrt(x^(-2)y^3)` (ii) `(x^(-2)doty^(-1/2))^2` (iii)`(sqrt(x^(-3)))^5`

Assuming that `x , y` are positive real numbers, simplify each of the

1.	Assuming that `x , y` are positive real numbers, simplify each of the following: (i)`sqrt(x^(-2)y^3)` (ii) `(x^(-2)doty^(-1/2))^2` (iii)`(sqrt(x^(-3)))^5`
Answer» 1)`(sqrt(x^(-2)y^3))^(1/2)` `=x^(-2/2)y^(3/2)` `=y^(3/2)/x` `=(sqrty)^3/x` 2)`(x^(-2)y^(-1/2))^2` `=(x^((-2)2)y^((-1/2)*(2)))` `=1/(ysqrtx^2)` 3)`(sqrtx^(-3))^5` `(x^(-3+2))^5` `x^(5-1)` `x^4`.