Posted by **kelly** on Thursday, September 6, 2012 at 9:54am.

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**, Thursday, September 6, 2012 at 12:10pm
(-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

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