Question

How do you simplify `\frac { 12x y ^ { 3} z ^ { 2} } { 8x y ^ { - 4} z ^ { 5} }`?

Answer 1

`color(brown)((3y^7)/(2z^3))`

Explanation:

`(12xy^3z^2)/(8xy^(-4)z^5)`

`color(white)("XXX")=color(magenta)(12/8) xx color(green)(x/x) xx color(red)((y^3)/(y^(-4))) xx color(blue)((z^2)/(z^5))`

`color(white)("XXX")=color(magenta)(3/2) xx color(green)(1) xx color(red)(y^3xxy^4) xx color(blue)(1/z^3)`

`color(white)("XXX")=color(magenta)(3/2) xx color(green)(1) xx color(red)(y^7) xx color(blue)(1/z^3)`

`color(white)("XXX")=(3y^7)/(2z^3)`