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Verified answer
(3^2008(10^2013 + 5^2012 × 2^2001) / (5^2012(6^2010 + 8^2009 × 2^2008) =(30^2008 × 10^5) + (15^2008 × 5^4) × (6^2001 × 3^7) / (30^2010 × 5^2) + (40^2009 × 5^3) × (10^2008 × 5^4) =
30^2008 × 10^5 + 15^2008×5^4 × 6^2001 × 3^7 / 30^2010 × 5^2 + 50^2009 × 5^3 × 10^2008 × 5^4
10^5 × 5^4 × 3^7 / 5^2 × 5^3 × 5^4 =
10^5 × 3^7 / 5^4