Evaluate $(2^{-1} + 3^{-1})^{-1}$.

Evaluate $(2^{-1} + 3^{-1})^{-1}$.
  1. $\dfrac{6}{5}$
  2. $\dfrac{5}{6}$
  3. $5$
  4. $6$

Solution

Inside: $\dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}$. Reciprocal: $\dfrac{6}{5}$.

Asked in: IMO

Practice more EXPONENTS AND POWERS questions on Aicharya