Question

sa se compare 2x5^38+5^39+5^40 si 2^100

Answer 1

2×5^38+5^39+5^50 in relatie cu 2^100
2×5^38(1+5+5^2)&2^200
2×5^38×31 & 4^50×2^100
5^38×62 & 16^25×2^100
5^38×62 & 16^2×16^21×2^100
5^38×62 & 256×4^42×2^100
5^38×62&256×2^84×2^100
5^38×62 & 2^184×256
5^38×62 & 4^92×256
5^38×62 & 16^46×256
5^38<16^46
62<256
deci5^38×62<16^46×256