Question 903773
{{{2^a*5^b*c=1400}}}
<pre>
We break 1400 down into prime factors:

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

1400 = {{{2^3*5^2*7}}}   

{{{2^a*5^b*c=2^3*5^2*7}}}

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</pre>