Question

2^45+2^46+2^47=?
Calculați cu factor comun si rezolvare completă!

Answer 1

2⁴⁵+2⁴⁶+2⁴⁷=2⁴⁵(1+2¹+2²)=2⁴⁵(1+2+4)=7×2⁴⁵

Answer 2

   
[tex]2^{45}+2^{46}+2^{47}= \\ \\ = 2^{45}+2^{45+1}+2^{45+2}= \\ \\ = 2^{45}+2^{45} \times 2^1+2^{45}\times2^2= \\ \\ = 2^{45} (1+2^1+2^2)= 2^{45} (1+2+4)= \boxed{7\times 2^{45} }[/tex]