Question

Help me pleasee , timed

Answer 1

Option 2:
`x^(9)(\sqrt[3]{y})`

Explanation:

Given

`(x^(27)y )^{(1)/(3) }`

The exponent power will be multiplied with the powers inside the bracket

So,

`(x^{27 * (1)/(3)} y^{(1)/(3)})`

`= x^{(27)/(3)} y^{(1)/(3) }`

`= x^(9) y^{(1)/(3)}`

Writing in radical form will give us:

`x^(9)(\sqrt[3]{y})`

So,

Option 2 is the correct answer ..

Answer 2

The second alternative is correct

Explanation:

We have been given the expression;

`(x^(27)y)^{(1)/(3)}`

The above expression can be re-written as;

`(x^(27))^{(1)/(3)}*y^{(1)/(3)}\\\\(x^(27))^{(1)/(3)}=x^{27*(1)/(3)}=x^(9)`

On the other hand;

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

Therefore, we have;

`x^(9)\sqrt[3]{y}`