Question

Please select the best answer from the choices provided

Answer 1

27^2/3

=(3^3)^2/3

= 3^2

= 9

Answer

d. 9

Answer 2

The correct answer option is d. 9.

Explanation:

We are given an expression
`27^{(2)/(3) }` and we are supposed to simplify it.

We can also write
`27^{(2)/(3) }` as
`(3^3)^{(2)/(3) }`.

We know the power rule
`(a^m)^n=a^(mn)` which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

`(3^3)^{(2)/(3) }\\3^{3.(2)/(3)`

3 gets cancelled by 3 so we are left with:

`3^2`
`=9`

Therefore, the correct answer option is d. 9.