Question

How do you evaluate and simplify `(-243)^(1/5)`?

Answer 1

-3

Explanation:

Since the root (denominator) is 5, and since 5 is odd, the "-" sign extracts from the radical.
`(-243)^(1/5)` = `-(243)^(1/5)`
Since `3^5 = 243`,
`-(243)^(1/5) = -(3^5)^(1/5)`
`= -(3)^(5/5)`
`= -(3)^1`
`=-3`