Question

explain me the meaning of this​

Answer 1

Ok. Fine. Check it out.

We know that,

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

So,

$(\sqrt[n]{a})^{n} = ({a}^{ \frac{1}{n} } )^{n}$

Simplifying the right hand side, we get,

$(\sqrt[n]{a})^{n} = a^{n \times \frac{1}{n} }$

$\implies (\sqrt[n]{a})^{n} = a$

I hope you have understood it.

More Formulae:-

$1. \: \: {a}^{m} \times {a}^{n} = {a}^{m + n}$

$2. \: \: {a}^{0} = 1 \: \: (a \neq0)$

$3. \: \: {a}^{m} \div {a}^{n} = {a}^{m - n}$

$4. \: \: {a}^{m} = \frac{1}{ {a}^{ - m} }$

$5. \: \: ({a}^{m})^{n} = {a}^{mn}$

and so on...