SOLUTION: Simplify {{{x^(m+n) * y^(3m-n)/ (x^(-n) * y^(3m))}}}

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify {{{x^(m+n) * y^(3m-n)/ (x^(-n) * y^(3m))}}}      Log On


   



Question 1112493: Simplify x%5E%28m%2Bn%29+%2A+y%5E%283m-n%29%2F+%28x%5E%28-n%29+%2A+y%5E%283m%29%29
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify x%5E%28m%2Bn%29+%2A+y%5E%283m-n%29%2F+%28x%5E%28-n%29+%2A+y%5E%283m%29%29
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Use +x%5Ea%2Fx%5Eb+=+x%5E%28a-b%29+
x%5E%28m%2Bn%29+%2A+y%5E%283m-n%29%2F+%28x%5E%28-n%29+%2A+y%5E%283m%29%29
= x%5E%28%28m%2Bn%29-%28-n%29%29+%2A+y%5E%283m-n-3m%29++
= +highlight%28+x%5E%28m%2B2n%29+%2A+y%5E%28-n%29%29++
or you can move y to the denominator and write
= +highlight%28+x%5E%28m%2B2n%29+%2F+y%5En%29++