The value of the given expression is -2/5.
The given expression is [tex]\sqrt[3]{-\frac{8}{125} }[/tex].
How to solve cube roots?
In mathematics, the definition of cube root is written as Cube root is the number that needs to be multiplied three times to get the original number. Now, let us look at the cube root formula, where y is the cube root of x. ∛x = y.
Now, [tex]\sqrt[3]{-\frac{8}{125} }[/tex] can be written as [tex]\sqrt[3]{(-\frac{2}{5})^{3} }[/tex].
Here, cube and cube root will get cancelled.
We get -2/5
Therefore, the value of the given expression is -2/5.
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