Find the value of $5^{3} \cdot 5^{-3}$.

Find the value of $5^{3} \cdot 5^{-3}$.
  1. $0$
  2. $1$
  3. $5^{9}$
  4. $5^{-9}$

Solution

Add the exponents: $5^{3+(-3)} = 5^{0} = 1$ (any non-zero base raised to 0 is 1).

Asked in: IMO

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