SOLUTION: {{{(a^(1/3) * a^(-2/3) /a^(1/2))}}}^4

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: {{{(a^(1/3) * a^(-2/3) /a^(1/2))}}}^4      Log On


   

Question 225259: %28a%5E%281%2F3%29+%2A+a%5E%28-2%2F3%29+%2Fa%5E%281%2F2%29%29^4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
Add exponents when you multiply like terms
%28a%5E%28%281%2F3%29%2B%28-2%2F3%29%29%29+%2Fa%5E%281%2F2%29%29^4 = %28a%5E%28-1%2F3%29%29+%2Fa%5E%281%2F2%29%29^4
The reciprocal gets rid of the negative exponent
%281+%2F%28a%5E%281%2F2%29%2Aa%5E%281%2F3%29%29%29^4 = %281+%2F%28a%5E%28%281%2F2%29%2B%281%2F3%29%29%29%29^4 = %281+%2F%28a%5E%28%283%2F6%29%2B%282%2F6%29%29%29%29^4 = %281+%2F%28a%5E%285%2F6%29%29%29^4
to the 4th power
1+%2F%28a%5E%2820%2F6%29%29 = 1+%2F%28a%5E%2810%2F3%29%29