Question

Find the value of n.

Answer 1

Answer:

The value of n is 5/3 .

Step-by-step explanation:

You have to apply Indices Law,

$\sqrt[n]{a} \: ⇒ \: {a}^{ \frac{1}{n} }$

${( {a}^{m} )}^{n} \: ⇒ \: {a}^{m \times n}$

So for this question :

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

${ ({3}^{ \frac{1}{3} } )}^{5}$

${3}^{ \frac{1}{3} \times 5 }$

${3}^{ \frac{5}{3} }$