SOLUTION: Simpify: no negative exponents or decimal answers 2n^1/3(3n^1/3-4n^2/3)/2n^-1/3

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Question 152399: Simpify: no negative exponents or decimal answers
2n^1/3(3n^1/3-4n^2/3)/2n^-1/3
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Use the following properties of exponents:
(1)
a%5Em%2Aa%5En=a%5E%28m%2Bn%29
(2)
1%2Fa%5E%28-m%29=a%5Em
So
%282n%5E%281%2F3%29%283n%5E%281%2F3%29-4n%5E%282%2F3%29%29%29%2F%282n%5E%28-1%2F3%29%29
=%28n%5E%281%2F3%29%283n%5E%281%2F3%29-4n%5E%282%2F3%29%29%29%2Fn%5E%28-1%2F3%29
=%28n%5E%281%2F3%29n%5E%281%2F3%29%283n%5E%281%2F3%29-4n%5E%282%2F3%29%29%29
=%28n%5E%281%2F3%2B1%2F3%29%283n%5E%281%2F3%29-4n%5E%282%2F3%29%29%29
=%28n%5E%282%2F3%29%283n%5E%281%2F3%29-4n%5E%282%2F3%29%29%29
=n%5E%282%2F3%29%2A3%2An%5E%281%2F3%29-n%5E%282%2F3%29%2A4%2An%5E%282%2F3%29
=3n%5E%282%2F3%29n%5E%281%2F3%29-4n%5E%282%2F3%29n%5E%282%2F3%29
=3n%5E%282%2F3%2B1%2F3%29-4n%5E%282%2F3%2B2%2F3%29
=3n%5E1-4n%5E%284%2F3%29
=3n%5E1-4n%5E%281%2B1%2F3%29
=3n-4n%5E1n%5E%281%2F3%29
=3n-4n%2An%5E%281%2F3%29