SOLUTION: Simplify and evaluate: (x^3y^-4/5x^6y^-8z^0)^3 I've been getting the answer of x^6y^8/125xy12. Please help me understand whaere I'm going wrong.

Algebra ->  Exponents -> SOLUTION: Simplify and evaluate: (x^3y^-4/5x^6y^-8z^0)^3 I've been getting the answer of x^6y^8/125xy12. Please help me understand whaere I'm going wrong.      Log On


   

Question 181120: Simplify and evaluate: (x^3y^-4/5x^6y^-8z^0)^3
I've been getting the answer of x^6y^8/125xy12. Please help me understand whaere I'm going wrong.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




I really can't tell where you went wrong on this.

Remember a couple of rules:









So, let's first get rid of all of the negative and zero exponents:



The goes from the denominator to the numerator and becomes , goes from the numerator to the denominator and becomes , and finally, the just goes away because it is equal to 1.

Next apply :



One last rule:

, so:





John