Answer:
The value of n is 5/3 .
Step-by-step explanation:
You have to apply Indices Law,
[tex] \sqrt[n]{a} \: ⇒ \: {a}^{ \frac{1}{n} } [/tex]
[tex] {( {a}^{m} )}^{n} \: ⇒ \: {a}^{m \times n} [/tex]
So for this question :
[tex] {( \sqrt[3]{3}) }^{5} [/tex]
[tex] { ({3}^{ \frac{1}{3} } )}^{5} [/tex]
[tex] {3}^{ \frac{1}{3} \times 5 } [/tex]
[tex] {3}^{ \frac{5}{3} } [/tex]
