Question

Решите:
$frac{ 2^{19} * 27^{3} + 15 * 4^{9}* 9^{4} }{6^{9}*2^{10}+12^{10}}$

Answer 1

$frac{2^{19}*27^{3}+15*4^9*9^4}{6^9*2^{10}+12^{10}}=frac{2^{19}*3^9+5*2^{18}*3^9}{2^9*3^9*2^{10}+2^{20}*3^{10}}=frac{2^{18}*3^9(2+5)}{2^{19}*3^9(1+2*3)}=frac{7}{2*7}=frac{1}{2}$

Answer 2

$frac{ 2^{19} * 27^{3} + 15 * 4^{9}* 9^{4} }{6^{9}*2^{10}+12^{10}}=\ frac{ 2^{19} * 3^{9} + 5 * 2^{18}* 3^{9} }{3^{9}*2^{19}+2^{20}*3^{10}}=\ frac{2^{18}*3^9(2+5)}{2^{18}*3^{9}(2+2^2*3)}=frac7{14}=frac12$