Posted by kelly on .
Evaulate each expression:
(1/8)^1/3
Would you make it 3 square root of 1/8? I don't know how to go from there.
(256/81)^1/4
Same thing, would it become 4 square root (256/81)?

Math 
Reiny,
(1/8)^1/3
= (1)^(1/3) / 8^(1/3)
= 1/2
check: (1/2)(1/2)(1/2) = 1/8
(256/81)^(1/4)  the fourth root
= 4/3
exponents in fraction form are roots
1/3 is cube root
1/4 is fourth root, etc
if you have an exponent like 2/3,
look at it as 2(1/3)
so 8^(2/3)
could be (8^2)^(1/3) = 64^(1/3) = 4
or
(8^(1/3) )^2= 2^2 = 4