SOLUTION: Please help me to find the product of 2^2007 and 5^2000 and then calculate the sum of the digits of the answer.Eric arrived at an answer of 11.is he correct?

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Question 767129: Please help me to find the product of 2^2007 and 5^2000 and then calculate the sum of the digits of the answer.Eric arrived at an answer of 11.is he correct?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
22007×52000 =

22000+7×52000 =

(22000×27)×52000 =

22000×27×52000 =

22000×52000×27 =

(22000×52000)×27 =

(2×5)2000×128 =

102000×128 =

128×102000 =

(1.28×102)×22000

1.28×(102×22000)

1.28×102002

So the answer is 1280000000...0  with 2000 zeros.

So the sum of the digits is 1+2+8 = 11

Yes 11 is correct.

Edwin
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