$\left(\dfrac{1}{2}\right)^{3}$ vs $\left(\dfrac{1}{3}\right)^{2}$

$\left(\dfrac{1}{2}\right)^{3}$ vs $\left(\dfrac{1}{3}\right)^{2}$
  1. $\left(\dfrac{1}{2}\right)^{3} > \left(\dfrac{1}{3}\right)^{2}$
  2. $\left(\dfrac{1}{2}\right)^{3} < \left(\dfrac{1}{3}\right)^{2}$
  3. Equal
  4. Cannot say

Solution

$\dfrac{1}{8} = 0.125 > 0.111 = \dfrac{1}{9}$.

Asked in: IMO

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