Simplify $\left(3^{-2}\right)^{-3}$.

Simplify $\left(3^{-2}\right)^{-3}$.
  1. $3^{-6}$
  2. $3^{6} = 729$
  3. $3^{5}$
  4. $9^{3}$

Solution

Multiply exponents: $3^{(-2)(-3)} = 3^{6} = 729$.

Asked in: IMO

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