SOLUTION: Simplify and leave with positive exponents: ( x-1 y2 z )-2 / (x-3y3z)-1 all of the numbers are exponents but somehow you can't see it

Algebra ->  Exponents -> SOLUTION: Simplify and leave with positive exponents: ( x-1 y2 z )-2 / (x-3y3z)-1 all of the numbers are exponents but somehow you can't see it       Log On


   



Question 59712: Simplify and leave with positive exponents:
( x-1 y2 z )-2 / (x-3y3z)-1

all of the numbers are exponents but somehow you can't see it


Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
We use ^ to indicate raising to a power x squared is x^2.
:
Simplify and leave with positive exponents:
%28x%5E%28-1%29%2Ay%5E2%2Az%29%5E%28-2%29%2F%28%28x%5E%28-3%29%2Ay%5E3%2Az%29%5E%28-1%29%29
Multiply the exponent on the outside of the parentheses by all the exponents on the inside of the parentheses.
x%5E2%2Ay%5E%28-4%29%2Az%5E%28-2%29%2F%28x%5E3%2Ay%5E%28-3%29%2Az%5E%28-1%29%29 Move anything with a negative exponent on the other side of the fraction line.
x%5E2%2Ay%5E3%2Az%5E1%2F%28x%5E3%2Ay%5E4%2Az%5E2%29 Now subtract the exponents of like bases.
1%2F%28x%5E%283-2%29%2Ay%5E%284-3%29%2Az%5E%282-1%29%29
1%2F%28x%5E1%2Ay%5E1%2Az%5E1%29
highlight%281%2F%28xyz%29%29
Happy Calculating!!!