Simplify $2^{5} \cdot 2^{3}$.

Simplify $2^{5} \cdot 2^{3}$.
  1. $2^{8} = 256$
  2. $2^{15}$
  3. $4^{8}$
  4. $2^{2}$

Solution

Use $a^{m} \cdot a^{n} = a^{m+n}$. So $2^{5} \cdot 2^{3} = 2^{5+3} = 2^{8} = 256$.

Asked in: IMO

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