Question

2^{21} *27^{3}+15*4^{10} *9^{4} /6^ {9} *2^{10} +12^{10} 

Answer 1

$frac{2^{21}27^{3}+15*4^{10}*9^{4}}{6^{9}*2^{10}+12^{10}} = frac{2^{21}*3^{9}+5*3*2^{20}*3^{8}}{2^{9}*3^{9}*2^{10}+2^{20}*3^{10}} = \ frac{2^{21}*3^{9}+5*2^{20}*3^{9}}{2^{19}*3^{9}+2^{20}*3^{10}} = frac{2^{20}*3^{9}(2+5)}{2^{19}*3^{9}(1+2*3)} = \ frac{2*7}{7} =2$