Respuesta :

x³ = 8/125

x = ∛8/125

x = 2/5

In short, Your Answer would be: 2/5

Hope this helps!

Answer:

The value of x in simplest fraction is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given : Equation [tex]x^3=\frac{8}{125}[/tex]

We have to find the value of x in simplest fraction.

Consider the given equation [tex]x^3=\frac{8}{125}[/tex]

writing 8 as 2 × 2 ×2

and writing 125 as 5 × 5 × 5

Thus, [tex]x^3=\frac{8}{125}=\frac{2\times 2\times 2}{5\times 5\times 5}[/tex]

re-written as [tex]x^3=(\frac{2}{5})^3[/tex]

Comparing both side, we have,

[tex]x=\frac{2}{5}[/tex]

Thus, The value of x in simplest fraction is [tex]\frac{2}{5}[/tex]