Question

(Retry) Which of the following simplifies to a negative number?
-- It isn't C, apparently.

Answer 1

The answer would be A,
`-4^(-4)`

Explanation:

Remember,
`x^(-n)` ≠
`-x^(n)`,
`x^(-n)` =
`(1)/(x^(n) )`.

a =
`-4^(-4)` =
`-(4^(-4))`

a =
`-(1)/(4^(4) )`

a =
`-(1)/(256)`

`-(1)/(256)` is negative

`-(1)/(256)` =
`-4^(-4)`, so
`-4^(-4)` is negative