Question

Вычислите (14^5×15^3)/(6^3×35^4)

Answer 1

$\frac{14^5*15^3}{6^3*35^4} = \frac{(2*7)^5*(3*5)^3}{(2*3)^3*(5*7)^4} = \frac{2^5*7^5*3^3*5^3}{2^3*3^3*5^4*7^4} = \frac{2^3*2^2*7^4*7*3^3*5^3}{2^3*3^3*5^3*5*7^4} = \frac{2^2*7}{5} =$
$=\frac{2^3*7}{2*5}= \frac{8*7}{10}= \frac{56}{10} =5.6$