Given the expression 250(1/2)^(1000/2000), which number is a factor?
A) 1000 B) 2000 C) 250 D) 2
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).
Thanks.