Răspuns :
(-2)×(-2)²×(-2)³×(-2)⁴×....×(-2)¹⁰⁰:4²⁵²⁵=
=(-2)¹⁺²⁺³⁺...⁺¹⁰⁰:(2²)²⁵²⁵=
=(-2)¹⁰⁰ˣ¹⁰¹/²:2⁵⁰⁵⁰=
=(-2)⁵⁰ˣ¹⁰¹:2⁵⁰⁵⁰=
=(-2)⁵⁰⁵⁰:2⁵⁰⁵⁰=
=2⁵⁰⁵⁰:2⁵⁰⁵⁰=1
Răspuns:
Explicație pas cu pas:
(-2)^(1+2+3+....+100):2^(2x2525)=(-2)^(100×101/2):2^5050=
(-2)^(50×101):2^5050=(-2)^5050:(2)^5050=1 (-2)^5050=2^50505