SOLUTION: Find the positive integer values of a,b and c in 2 to the power of a * 5 to the power of b * c = 1400

Question 903773: Find the positive integer values of a,b and c in
2 to the power of a * 5 to the power of b * c = 1400
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

We break 1400 down into prime factors:

           1400
           /   \
        100     14
        / \     /\
      10   10  2  7
      /\   /\
     2  5 2  5

1400 =    



So the power of 2 on the left must equal the power of 2
on the right, so a=3.
The power of 5 on the left must equal the power of 5 on
the right, so b=2. And then c=7.

Edwin

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