Question

2¹•2²•2³•2⁴•..........2 la 45.

Answer 1

=2 la puterea 1+2+3+....45=2 la puterea (45×46)/2= 2 la puterea 45×23=2 la puterea 1035

Answer 2

Se foloseste:
 -proprietatea nᵃ·nᵇ=nᵃ⁺ᵇ
 -suma lui Gausse: 1+2+3+...+n$= \frac{n(n+1)}{2}$
2¹·2²·2³·...·2⁴⁵=2¹⁺²⁺³⁺···⁺⁴⁵=2¹⁰³⁵
1+2+3+...+45$= \frac{45*46}{2} =1035$
bafta! :D