SOLUTION: 3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power solve

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: 3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power solve      Log On

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Question 79366This question is from textbook
: 3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power
solveThis question is from textbook

Answer by Mona27(45) About Me  (Show Source):
You can put this solution on YOUR website!
3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power
solve
This is the same as
%283%5E%281%2F2%29%2A9%5E%281%2F3%29%29%2F27%5E%281%2F4%29
Change all the bases to 3
%283%5E%281%2F2%29%2A3%5E%282%2F3%29%29%2F3%5E%283%2F4%29
And then use the rules of indices to resolve: add the powers on top and subtract the powers on the bottom.
You will end up with:
3%5E%28%281%2F2%29%2B%282%2F3%29-%283%2F4%29%29=3%5E%285%2F12%29