Question

сократите дробь 2^3*4^8/16^5*5^2

Answer 1

$frac{2^{3}*4^{8}}{16^{5}*5^{2}} =frac{2^{3}*(2^{2})^{8}}{(2^{4})^{5}*5^{2}}=frac{2^{3}*2^{16}}{2^{20}*5^{2}}=frac{2^{19}}{2^{20}*5^{2}}=frac{1}{2*5^{2}}=frac{1}{2*25}=frac{1}{50}=frac{2}{100}=0,02$