SOLUTION: Simplify and write answer as positive exponents only. {{{ (6mn^-2/ 3m^-1n^2)^-3 }}}

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify and write answer as positive exponents only. {{{ (6mn^-2/ 3m^-1n^2)^-3 }}}      Log On


   

Question 260906: Simplify and write answer as positive exponents only.
+%286mn%5E-2%2F+3m%5E-1n%5E2%29%5E-3+
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1 - reduce 6 and 3 to get
+%282mn%5E-2%2F+m%5E-1n%5E2%29%5E-3+
step 2 - apply the power rule and we get
+%282%5E%28-3%29m%5E%28-3%29n%5E%286%29%2F+m%5E%283%29n%5E%28-6%29%29+
step 3- bring the 2 and m down and the n up to get
+%28n%5E%2812%29%2F+2%5E%283%29m%5E%286%29%29+
and we are done.