Question

Find the value of the expression

Answer 1

Alright, let get started.

`(√(-49))^(3)`

49 could be written as
`7^(2)`, it means

`(\sqrt{-7^(2)})^(3)`

`(7√(-1))^(3)`

`√(-1)` could be written as i

`(7i)^(3)`

`343i^(3)`

`343i^(2) i`

As we know,
`i^(2) = -1`

`-343 i`

That is the answer:

Hope it will help :)