Question

2 la puterea 1 ×2 la puterea 2 ×2 la puterea 3 .....x2 la puterea 45

Answer 1

[tex]a^m\cdot a^n=a^{m+n}\\ Asadar:\\ 2^1\cdot 2^2\cdot 2^3\cdot 2^4\cdot...\cdot2^{45}=\\ =2^{1+2+3+4+....+45}=\\ =2^{\frac{45\cdot46}{2}}=2^{45\cdot 23}=\boxed{2^{1035}}[/tex]