SOLUTION: Simplify and write your answer witout negative exponents: {{{ (-2x^2y^-3)^-2(3x^-1y)^-4 / (6xy^2)^-1 }}}

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify and write your answer witout negative exponents: {{{ (-2x^2y^-3)^-2(3x^-1y)^-4 / (6xy^2)^-1 }}}      Log On


   

Question 9736: Simplify and write your answer witout negative exponents: +%28-2x%5E2y%5E-3%29%5E-2%283x%5E-1y%29%5E-4+%2F+%286xy%5E2%29%5E-1+
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
First, rearrange, to remove the negative powers on the outside of the 3 brackets:
+%286xy%5E2%29%2F%28%28-2x%5E2y%5E-3%29%5E2%283x%5E-1y%29%5E4%29+

lets just do each of the 3 main brackets individually first:
+%28-2x%5E2y%5E-3%29%5E2 --> 4x%5E4y%5E-6
+%283x%5E-1y%29%5E4 --> 81x%5E%28-4%29y%5E4
+%286xy%5E2%29+ --> unchanged

so we get +%286xy%5E2%29%2F%28%284x%5E4y%5E-6%29%2881x%5E%28-4%29y%5E4%29%29+ which then becomes

+%286xy%5E2%29%2F%28324y%5E-2%29+
+%286xy%5E2%2Ay%5E2%29%2F%28324%29+
+%286xy%5E4%29%2F%28324%29+
+%28xy%5E4%29%2F%2854%29+

jon.