Question

Ajutorva rog dau coroana ​

Answer 1

(5¹×5²×5³×....×5²⁰⁰⁹):5²⁰⁰¹⁰⁰⁰=

=5¹⁺²⁺³⁺...⁺²⁰⁰⁰:5²⁰⁰¹⁰⁰⁰=

=5(²⁰⁰⁰°²⁰⁰¹/2):5²⁰⁰¹⁰⁹⁹=

=5¹⁰⁰⁰°²⁰⁰¹:5²⁰⁰¹⁰⁰⁰=

=5²⁰⁰¹⁰⁰⁰:5²⁰⁰¹⁰⁰⁰=1

Answer 2

Răspuns:

Explicație pas cu pas:

5^1*5^2*5^3 *....*5^2000 = 5^(1+2+3+...+2000)

1 + 2 + 3 + ....+ 2000 = 2000*(1 + 2000)/2 = 1000*2001 = 2001000

5^(1+2+3+...+2000) = 5^2001000

5^2001000 : 5^2001000 = 5^(2001000 - 2001000) = 5^0 = 1