Question

Find the value of n.

Answer 1

The value of n is 5/3 .

Explanation:

You have to apply Indices Law,

`\sqrt[n]{a} \: ⇒ \: {a}^{ (1)/(n) }`

`{( {a}^(m) )}^(n) \: ⇒ \: {a}^(m * n)`

So for this question :

`{( \sqrt[3]{3}) }^(5)`

`{ ({3}^{ (1)/(3) } )}^(5)`

`{3}^{ (1)/(3) * 5 }`

`{3}^{ (5)/(3) }`