In this question, you have a fraction as a base and must consider various values for x, the exponent. Consider what happens when x = −1. We know that (
1
4
)−1 =
1
(
1
4
)1
= 4. Putting that into the full equation, we get 1−(
1
4
)x = 1 - 4 = - 3 This is not greater than zero, and if x = −2, the result will be even lower, so choices (A) and (B) are out. Next, consider what happens when x = 0. Any base to the zero power equals 1; then 1−(
1
4
)x = 1 - 1 = 0. You want the value of x that makes the expression greater than 0, so try x = 1: 1−(