If a and b are negative integers, which of the following statements must be true?
I. (-a)^b is positive.
II. (-a)^(-b) is positive.
III. a^(-b) is positive.
Choose the correct option.
A) None  B) II only  C) I and II only  D) I and III only  E) I, II and III
Let's a = -2 and b = -3   I. (-a)^b = (2)^(-3) = 1/(2^3) --&gt; Positive   II. (-a)^(-b) is positive. = 2^3 --&gt; Positive   III. a^(-b) is positive. = -2^3 --&gt; Negative   Answer: I and II only
<result>C</result>
If a and b are negative integers, which of the following statements must be true?
I. (-a)^b is positive.
II. (-a)^(-b) is positive.
III. a^(-b) is positive.