Question

Find the value of the expression

Answer 1

Alright, let get started.

$(\sqrt{-49})^{3}$

49 could be written as $7^{2}$, it means

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

$(7\sqrt{-1})^{3}$

$\sqrt{-1}$ 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 :)