SOLUTION: Use the law of exponents to rewrite and simplify. Square root of (a * square root of b) / cube root of ab

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Question 781654: Use the law of exponents to rewrite and simplify.
Square root of (a * square root of b) / cube root of ab
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28a%2Asqrt%28b%29%29%2Froot%283%2Cab%29

This is surely not rendering correctly, so it will not appear the way is needs to appear.

%281%2F%28ab%29%5E%281%2F3%29%29%28a%2Asqrt%28b%29%29%5E%281%2F2%29

%28%28a%5E%281%2F2%29%29%28b%5E%281%2F4%29%29%29%2F%28a%5E%281%2F3%29b%5E%281%2F3%29%29

a%5E%281%2F2-1%2F3%29%2Ab%5E%281%2F4-1%2F3%29

a%5E%281%2F6%29%2Ab%5E%28-1%2F12%29

%28a%5E%281%2F6%29%29%2F%28b%5E%281%2F12%29%29
As said, that may be rendered badly. In words (almost), this result is a to the one-sixth power, over b to the one-twelfth power.