(2^9+77*2^7)/12^4 как сократить?

Question

(2^9+77*2^7)/12^4 как сократить?

Answer 1

(2⁹ + 77*2⁷) / 12⁴ =

= 2⁷*(2² + 77) /(3*4)⁴ =

= 2⁷*(2² + 77) /(3⁴*4⁴) =

= 2⁷*(2² + 77) /(3⁴*((2)²)⁴) =

= 2⁷*(2² + 77) /(3⁴*2⁸) =

= (2² + 77) /(3⁴*2) =

= (4 + 77) / (81 * 2) = 81 / 162 = 1/2    (или  0,5)