Question

If x = 0, simplify the expression completely.

Answer 1

You have to apply Indices Law :

`{a}^(m) / {a}^(n) ⇒ {a}^(m - n)`

So for this question :

`\frac{ \sqrt[3]{x} }{ {x}^{ (1)/(8) } }`

`= \sqrt[3]{x} / {x}^{ (1)/(8) }`

`= {x}^{ (1)/(3) } / {x}^{ (1)/(8) }`

`= {x}^{ (1)/(3) - (1)/(8) }`

`= {x}^{ (5)/(24) }`