Question

Вычислите:

(5+1)(5^2+1)(5^4+1)(5^8+1)*...*(5^1024+1)-0,25*5^2048

Answer 1

$sf (5+1)(5^2+1)< cdot cdot cdot >(5^{1024}+1)-0.25cdot5^{2048}= \ =dfrac{(5-1)(5+1)(5^2+1)< cdot cdot cdot >(5^{1024}+1)}{4}-dfrac{1}{4}cdot5^{2048}= \ =dfrac{1}{4}(5^{2048}-1)-dfrac{1}{4}cdot5^{2048}=boxed{sf-dfrac{1}{4}}$

Answer 2

спасибо бро!