Question

Evaluate.



2
-2
4
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Answer 1

2

Explanation:

We have to get the value of the expression of - ∛(- 8).

Now, we can write the expression as

- ∛(- 8)

=
`-\sqrt[3]{-8}`

=
`-(-8)^{(1)/(3) }` {Converting into exponent form}

=
`-[(-2)^(3) ]^{(1 )/(3) }` {Since (- 2) × (- 2) × (- 2) = - 8}

=
`- [(-2)^{3* (1)/(3) } ]`{Since we know that
`[x^(a)] ^(b) = x^(ab)`}

= - [- 2]

= 2 (Answer)