L. Gerin, M. Bouvel_563.pdf

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(210)2·82
413
10 1000·104·√10100
538,(259)2,12515,1 000 000 000,(615)3.
1030,610(210)2,2120,√860,4(102),(410)2.

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10a×10a= 102aa10a×10a= 10100
4(102)(410)2
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8 = 234 = 22
(210)2·82
413 =220 ·(23)2 (22)13 =220 ·26 226 =226 226 = 1
1050 ·1050 = 10100 √10100 = 1050
1000 ·104·√10100 = 103·104·1050 = 1057
1 000 000 000 <(259)2<538 <12515 <(615)3
•1 000 000 000 = 109= (2 ×5)9= 29×59<59×59= 518
•(259)2= ((52)9)2= 52×9×2= 536
•12515 = (53)15 = 53×15 = 545
•(615)3= 645 >545
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10 210 = 1024 >103>592 = 29
(410)2<610(210)2<√860 <1030 <2120 <4(102)
•(410)2= (220)2= 240
•610(210)2= 610 ×220 >410 ×220 = 220 ×220 = 240
•610(210)2= 610 ×220 <810 ×220 = (23)10 ×220 = 230 ×220 = 250
•√860 = 830 = (23)30 = 290
•1030 = (103)10 >(29)10 = 290
•1030 = (103)10 <(210)10 = 2100
•4(102)= 4100 = (22)100 = 2200
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