SOLUTION: The fourth root of the cubed root of 16. I tried simplifying it to the fourth root of 2 cubed roots of 2. I have no clue if that is right because we weren't shown how to do this

Algebra ->  Radicals -> SOLUTION: The fourth root of the cubed root of 16. I tried simplifying it to the fourth root of 2 cubed roots of 2. I have no clue if that is right because we weren't shown how to do this      Log On


   

Question 293102: The fourth root of the cubed root of 16.
I tried simplifying it to the fourth root of 2 cubed roots of 2. I have no clue if that is right because we weren't shown how to do this it was a bonus on our homework. Please help me.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C16%5E3%29
you can get the fourth root of 16 first
root%284%2C16%29=2
2^3=8
or you can cube 16 first
16*16*16=8*2*8*2*8*2=8*8*8*8
so we have root%284%2C8%2A8%2A8%2A8%29=8
or did you mean
root%284%2Croot%283%2C16%29%29
(16^(1/3))^(1/4)
root%2812%2C16%29
16^(1/12)=root%283%2C2%29=abt 1.26