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a)2×5^38+5^39+5^40 comparat cu 2^100

Răspuns :

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