What is the largest number among the following?

What is the largest number among the following?
  1. $\left(\dfrac{1}{2}\right)^{-6}$
  2. $\left(\dfrac{1}{4}\right)^{-3}$
  3. $\left(\dfrac{1}{3}\right)^{-4}$
  4. $\left(\dfrac{1}{6}\right)^{-2}$

Solution

Evaluate each: $(1/2)^{-6} = 2^6 = 64$; $(1/4)^{-3} = 4^3 = 64$; $(1/3)^{-4} = 3^4 = 81$; $(1/6)^{-2} = 6^2 = 36$. The largest value is 81, which is option C.

Asked in: CSAT 2020

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