SOLUTION: Simplify and Evaluate: (x^3y^-4z^0/5x^6y^8)^3 I got x^9 y^-12 1/5x^18y^24

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify and Evaluate: (x^3y^-4z^0/5x^6y^8)^3 I got x^9 y^-12 1/5x^18y^24      Log On


   

Question 120307: Simplify and Evaluate:
(x^3y^-4z^0/5x^6y^8)^3
I got
x^9 y^-12 1/5x^18y^24
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You're close, but need to raise 5 to the 3rd power to get 5%5E3=125

So you should have

%28x%5E9%2Ay%5E-12%2A1%29%2F%28125x%5E18y%5E24%29


Now let's divide:



x%5E%289-18%29y%5E%28-12-24%29 Remember when you divide monomials, you subtract their corresponding exponents. For instance x%5E2%2Fx%5E3=x%5E%282-3%29=x%5E-1


%281%2F125%29x%5E-9y%5E-36 Simplify. Remember to reduce the coefficients (which are numbers in front of the variables)



%281%2F125%29%281%2Fx%5E9%29%281%2Fy%5E36%29 Flip x%5E-9 to get 1%2Fx%5E9. Flip y%5E-36 to get 1%2Fy%5E36.



%281%29%2F%28125x%5E9y%5E36%29 Combine the fractions



So %28x%5E3y%5E-4z%5E0%2F5x%5E6y%5E8%29%5E3 simplifies to %281%29%2F%28125x%5E9y%5E36%29