Simplify $\dfrac{7^{12}}{7^{9}}$.

Simplify $\dfrac{7^{12}}{7^{9}}$.
  1. $7^{3} = 343$
  2. $7^{21}$
  3. $7^{4/3}$
  4. $1$

Solution

Use $\dfrac{a^{m}}{a^{n}} = a^{m-n}$. $\dfrac{7^{12}}{7^{9}} = 7^{12-9} = 7^{3} = 343$.

Asked in: IMO

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