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Given the expression 250(1/2)^(1000/2000), which number is a factor?

 

A) 1000     
B) 2000     
C) 250     
D) 2

 Apr 23, 2018
 #1
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+1

 250(1/2)^(1000/2000)

Let us first reduce the above expression:

250*1/2^1/2        Since 1,000/2,000 =1/2

250*sqrt(1/2)      But sqrt(1/2) = 1 / sqrt(2)

250 * 1 / sqrt(2), or:

250 / sqrt(2).

So, 250 is a factor of  250(1/2)^(1000/2000).

 Apr 23, 2018
 #2
avatar+110 
+1

Thanks.

 Apr 23, 2018

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