Evaluate $(-3)^{-3}$.

Evaluate $(-3)^{-3}$.
  1. $-\dfrac{1}{27}$
  2. $\dfrac{1}{27}$
  3. $-27$
  4. $27$

Solution

$(-3)^{-3} = \dfrac{1}{(-3)^{3}} = \dfrac{1}{-27} = -\dfrac{1}{27}$.

Asked in: IMO

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