SOLUTION: Given that 0 < x < 1, and set A = (x, x^2, x^3,x^4), what is the smallest value in set A? A) x^2 B)x^3 C)x^4 D) cannot be determined

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Question 1143386: Given that 0 < x < 1, and set A = (x, x^2, x^3,x^4), what is the smallest value in set A?
A) x^2
B)x^3
C)x^4
D) cannot be determined
Answer by greenestamps(13200) About Me  (Show Source):
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C) x^4

Multiplying a positive number by any number between 0 and 1 makes the number smaller. If a number between 0 and 1 is raised to a power, the result gets smaller as the power increases. So

x^2 < x
x^3 < x^2
x^4 < x^3