SOLUTION: Please help me solve this equation: {{{ (5x^2y^-3z)/x^-2y}}}

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Question 68211: Please help me solve this equation: +%285x%5E2y%5E-3z%29%2Fx%5E-2y
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
+%285x%5E2y%5E-3z%29%2Fx%5E-2y
Solution:
All you have to do is apply the property of Exponents for division.
For all real numbers a, a is not equal to 0, and for all positive integers m and n:
If m > n then +a%5Em%2Fa%5En = +a%5E%28m-n%29
If m < n then +a%5Em%2Fa%5En = +1%2F%28a%5E%28n-m%29%29
Notice that the base x, 2 > -2 so we are going to rewrite +x%5E%282%2B2%29 and the base y, -3 < 1 so we are going to rewrite it as +1%2Fy%5E%281%2B3%29
so we will have this expression.
+5x%5E%282%2B2%29z%2Fy%5E%281%2B3%29
Simplify and you will get the result which is
+%285x%5E4z%29%2Fy%5E4