[tex]\Big(2 \sqrt{2} \Big)^{2014} = 2^{2014} \cdot \sqrt{2}^{2014} = 2^{2014}\cdot 2^{ \dfrac{1}{2} \cdot 2014} = 2^{2016}\cdot 2^{1007}= \\ \\ =2^{2016+1007}=\boxed{2^{3023}}[/tex]
Sau poate te refereai la:
[tex]2\cdot \sqrt{2}^{2014} = 2\cdot 2^{ \dfrac{1}{2}\cdot 2014 } = 2\cdot 2^{1007} = 2^{1+1007} =\boxed{ 2^{1008}}[/tex]
