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Question
When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is
Options
9
-9
\[\frac{1}{9}\]
\[- \frac{1}{9}\]
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Solution
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
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