2⁵×4¹³×8⁵⁰ =
= 2⁵×2²⁾¹³×2³⁾⁵⁰
= 2⁵×2²⁶×2¹⁵⁰
= 2⁵⁺²⁶⁺¹⁵⁰
= 2¹⁸¹
[tex]2^5\times 4^{13}\times 8^{50}=\\ \\ =2^5\times \left(2^2\right)^{13}\times \left(2^3\right)^{50}\\ \\ =2^5\times 2^{2\times 13}\times 2^{3\times 50}\\ \\ = 2^5\times 2^{26}\times 2^{150}\\ \\ =2^{5+26+150}\\ \\ =\boxed{2^{181}}[/tex]
