If x > y^2 >z^4, which of the following statements could be true?
I. x > y > z
II. z > y > x
III. x > z > y
a. I only
b. I and II only
c. I and III only
d. II and III only
e. I, II and III
We just need to remember that
1. the number decreases in value with increment in the power of the number if 0< number< 1;
if x=0.1; x>x^2>x^3>x^(100) because x is between 0 and 1.
2. the number increases in value with increment in the power of the number if number>1
x<x^2<x^(100) because x is more than 1.