Find $\left[(-3)^{2}\right]^{3}$.

Find $\left[(-3)^{2}\right]^{3}$.
  1. $-729$
  2. $729$
  3. $-27$
  4. $27$

Solution

$(-3)^{2 \cdot 3} = (-3)^{6}$. Even power of a negative is positive: $3^{6} = 729$.

Asked in: IMO

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