SOLUTION: Simplify (-3x^-2 y^0)^-3 no negative exponents allowed in final answer. Please help with this question and explain it thoroughly because i have to do lots of problems like this

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify (-3x^-2 y^0)^-3 no negative exponents allowed in final answer. Please help with this question and explain it thoroughly because i have to do lots of problems like this       Log On


   

Question 977398: Simplify (-3x^-2 y^0)^-3
no negative exponents allowed in final answer.
Please help with this question and explain it thoroughly because i have to do lots of problems like this and I need a bit of briefing before I do them. Thank you :)
PS: y is separated from the 2
Found 2 solutions by Fombitz, rothauserc:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
(-3x^(-2)y^(0))^(-3)
Use parentheses to separate the exponents.
This way it's clear and you don't need to explain.
%28-3x%5E%28-2%29y%5E%280%29%29%5E%28-3%29=1%2F%28-3x%5E%28-2%29y%5E%280%29%29%5E%283%29

%28-3x%5E%28-2%29y%5E%280%29%29%5E%28-3%29=1%2F%28-27x%5E%28-6%29y%5E%280%29%29
%28-3x%5E%28-2%29y%5E%280%29%29%5E%28-3%29=-%28x%5E6%2F27%29

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(-3x^-2 y^0)^-3 =
(-3x^-2)^-3
note that y^0 = 1
(-3x^-2)^-3 =
-3^-3 *x^6
multiply exponents inside parenthesis by -3
-3^-3 *x^6 =
-x^6 / 3^3 =
-x^6 / 27