SOLUTION: what is the square root of 3 times the cube root of nine? 3 to the 1/2 times 9 to the 1/3? I don't see how the exponents are manipulated to yield the answer 9 to the 7/12!

Algebra ->  Square-cubic-other-roots -> SOLUTION: what is the square root of 3 times the cube root of nine? 3 to the 1/2 times 9 to the 1/3? I don't see how the exponents are manipulated to yield the answer 9 to the 7/12!      Log On


   

Question 736035: what is the square root of 3 times the cube root of nine? 3 to the 1/2 times 9 to the 1/3? I don't see how the exponents are manipulated to yield the answer 9 to the 7/12!
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Since 3 can be expressed as 9^(1/2), we have

----
Adding up the exponents gives 9^(7/12)