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

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

## 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.

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.