Question Number 157315 by amin96 last updated on 22/Oct/21
Answered by gsk2684 last updated on 22/Oct/21
$$\underset{{t}=\mathrm{5555}} {\overset{\mathrm{55555}} {\prod}}\left(−\mathrm{1}\right)^{{t}} \\ $$$$=\left(−\mathrm{1}\right)^{\mathrm{5555}} \left(−\mathrm{1}\right)^{\mathrm{5556}} ...\left(−\mathrm{1}\right)^{\mathrm{55555}} \\ $$$$=\left(−\mathrm{1}\right)\left(\mathrm{1}\right)\left(−\mathrm{1}\right)....\left(−\mathrm{1}\right)\:\left({odd}\:{number}\:{of}\:{terms}\right) \\ $$$$=\mathrm{1} \\ $$