SOLUTION: hi, i need some help with this problem to simplify it as much as possible... x^2y^-3z^-5 ___________ x^-4y^3 Thanks!

Algebra ->  Exponents -> SOLUTION: hi, i need some help with this problem to simplify it as much as possible... x^2y^-3z^-5 ___________ x^-4y^3 Thanks!      Log On


   

Question 57906: hi, i need some help with this problem to simplify it as much as possible...
x^2y^-3z^-5
___________
x^-4y^3
Thanks!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rules of exponents we will use:
highlight%28%28a%5Em%29%28a%5En%29=a%5E%28m%2Bn%29%29
highlight%28a%5E%28-m%29=1%2Fa%5Em%29
highlight%281%2Fa%5E%28-m%29=a%5Em%29
:
x%5E2y%5E-3z%5E-5%2F%28x%5E-4y%5E3%29 It's easiest for me to take care of the negative exponents first.
x%5E2x%5E4%2Fy%5E3y%5E3z%5E5
x%5E%282%2B4%29%2F%28y%5E%283%2B3%29z%5E5%29
highlight%28x%5E6%2F%28y%5E6z%5E5%29%29
Happy Calculating!!!