Question

How do you simplify `(\frac { x ^ { 4} y ^ { - 2} z ^ { - 6} ) (x^2y^-6z^-4)) ^(1/2)`?

Answer 1

`x*y^2*z`

Explanation:

`((x^4*y^(−2)*z^(−6))/(x^2*y^(−6)*z^(−4)))^(1/2)`

`(x^(4-2)*y^(−2-(-6))*z^(−6-(-4)))^(1/2)`

`(x^2*y^4*z^2)^(1/2)`

`(x^(2/2)*y^(4/2)*z^(2/2))`

`x*y^2*z`