Simplify [(x^-4 y^2 z^3)/(x^2 y^4)] (x^-3 / z^2)^2

[lil1ch1ck]

I don't understand how to simplify a problem like this. Can someone explain the steps to me?

x^-4 y^2 z^3
------------------. .x. .(x^-3/z^2)^2
. .x^2 y^4


I hope you understand the exercise :? I have a quiz tomorrow, the first one for the quarter, and I think I'm doomed if I don't understand this. Thank you!

 

[lil1ch1ck]

the 'x' right after the dashed line is a multiplication sign

 

[tkhunny]

Re: Simplify

x^-4 y^2 z^3
------------------ x (x^-3/z^2)^2
x^2 y^4

Just pick out everything with the same base.

\(\displaystyle x^{(-4)-(2)+(-3)*2}\)

Simplify that exponent, then do 'y' and 'z'.

Note: Please don't use 'x' to mean multiplication.