SOLUTION: √y^3 can be written as (y^3)1/2 or (y)3/2. GIven this, what does (8)5/3 equal? The correct answer is 32, but I can't figure it out. Please help me. Thanks

Algebra ->  Square-cubic-other-roots -> SOLUTION: √y^3 can be written as (y^3)1/2 or (y)3/2. GIven this, what does (8)5/3 equal? The correct answer is 32, but I can't figure it out. Please help me. Thanks      Log On


   

Question 559494: √y^3 can be written as (y^3)1/2 or (y)3/2.
GIven this, what does (8)5/3 equal?
The correct answer is 32, but I can't figure it out.
Please help me.
Thanks
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%285%2F3%29 = root%283%2C8%5E5%29 = root%283%2C%282%5E3%29%5E5%29 = root%283%2C2%5E%283%2A5%29%29 = root%283%2C2%5E15%29 = %282%5E15%29%5E%281%2F3%29 = 2%5E%2815%2A%281%2F3%29%29 = 2%5E3 = 32
Some of the too-tall exponents are not wholly visible, but I included plenty of equivalent expressions to help you figure them out.