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`

Explanation

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`

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