Simplify $(3^{4})^{2}$.

Simplify $(3^{4})^{2}$.
  1. $3^{6}$
  2. $3^{8} = 6561$
  3. $9^{4}$
  4. $3^{16}$

Solution

Use $(a^{m})^{n} = a^{mn}$. $(3^{4})^{2} = 3^{4 \cdot 2} = 3^{8} = 6561$.

Asked in: IMO

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