SOLUTION: the problem says write the expression in simplest form. assume all variables are positive... ok i hope i can word this correctly! the 3rd root of x squared times the 4th root of x

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: the problem says write the expression in simplest form. assume all variables are positive... ok i hope i can word this correctly! the 3rd root of x squared times the 4th root of x      Log On

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Question 23914: the problem says write the expression in simplest form. assume all variables are positive... ok i hope i can word this correctly! the 3rd root of x squared times the 4th root of x...i have no idea where to begin
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
nth root can be written as a power of 1/n

eg x to the 7th root is also x%5E%281%2F7%29

so, your Q is %28x%5E2%29%5E%281%2F3%29%2A%28x%29%5E%281%2F4%29 which is %28x%5E%282%2F3%29%29%2A%28x%5E%281%2F4%29%29 which simplifies to x%5E%282%2F12%29 and hence to x%5E%281%2F6%29. This is then the 6th root of x ie there is a number that multiplied to itself and to itself and to itself...6 times equals "x".

jon.