Determine if the following statements are true or false. If it is true, explain why. If it is false, provide an example.
a.) If a and b are positive numbers, then (a+b)^x=a^x+b^x
b.) If x < y, then e^x < e^y
c.) If 0 < b <1 and x < y then b^x > b^y
d.) if e^(kx) > 1, then k > 0 and x >0
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