If x=1/4, which expression has the greatest value?

If x=1/4, which expression has the greatest value?

Quiz

Answer/Solution

x^(-3)

Steps/Work

Options A and B are both less than 1.
Option C: 1/(2(1/4)) = 4/2 = 2
Option D: (1/4) / 0.03 = 1/0.12 = 8.333...
Option E: (1/4)^(-3) = 4^3 = 64
The answer is E.