Question

Упростить выражение: 2^3n+9×4^n/32^n+2

Answer 1

$\frac{2^{3n+9}\cdot 4^{n}}{32^{n+2}} = \frac{2^{3n+9}\cdot 2^{2n}}{(2^5)^{n+2}} =\frac{2^{5n+9}}{2^{5n+10}} =2^{5n+9-5n-10}=2^{-1}=\frac{1}{2}$