Question

a)2×5^38+5^39+5^40 comparat cu 2^100

Answer 1

2×5^38+5^39+5^40 =5^38•(2+5+25)=5^38•2^5=2^5•(5^2)^19=2^5•25^19

2^100=2^5•2^95=2^5•(2^5)^19=2^5•32^19

2^5•32^19>2^5•25^19

=>2×5^38+5^39+5^40 < 2^100