Question

When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is 

विकल्प

• 9

• -9

• \[\frac{1}{9}\]

• \[- \frac{1}{9}\]

Answer 1

We have to find the value of  `(-1/27)^((-2)/3)`

So,

`(-1/27)^((-2)/3)` = `(-1/27)^((-2)/3)`

                          `= (-1/3^3)^((-2)/3)`

                         ` = -1/(3^(3x(-2)/3`

                         ` = -1/(3^(3x(-2)/3`

`(-1/27)^((-2)/3) = -1/3^-2`

`-1/(1/(3^2))`

`-1/(1/9)`

 = 9