Question

X=3 la puterea7 ori 9 la puterea2 :[2 la puterea2 - (27 ori 5 + 10 la putarea10)la puterea0]la puterea 10=
Y=5 la puterea10 : 5 la puterea8 : 5 -3 la puterea100 : 9 la puterea50- 2 la puterea50=

Calculati: (x-y)la puterea 2000

Comparati: (x+y)la puterea 2000 cu 2 la puterea 4000

Rezolvare completa,va rog frumos

Answer 1

x=3⁷·9²:[2²-(27·5+10¹⁰)⁰]¹⁰ = 3⁷·3⁴:[2²-1]¹⁰ = 3¹¹:(4-1)¹⁰ = 3¹¹:3¹⁰ = 3
y=5¹⁰:5⁸:5-3¹⁰⁰:9⁵⁰-2⁵⁰ = 5-(3²)⁵⁰:9⁵⁰-2⁵⁰ = 5-9⁵⁰:9⁵⁰-2⁵⁰ = 5-1-2⁵⁰ = 4-2⁵⁰

(x-y)²⁰⁰⁰ = [3-(4-2⁵⁰)]²⁰⁰⁰ = (3-4+2⁵⁰)²⁰⁰⁰ = (-1+2⁵⁰)²⁰⁰⁰ = (2⁵⁰-1)²⁰⁰⁰

(x+y)²⁰⁰⁰   >  2⁴⁰⁰⁰
(2⁵⁰-1)²⁰⁰⁰  >   (2²)²⁰⁰⁰
2⁵⁰-1    >   4²⁰⁰⁰