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Ta có:19920=(1994)5=15682392015
201715=(20173)5=82057389135
Vì 82057381395>15682392015 nên 19920<201715
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ta có 19920<20020 và 200015<201715
20020=2004.5=(2004)5
200015=20003.5=(20003)5
so sánh: 2004và 20005
2004=2003.200
20003=(200.10)3=2003.103=2003.1000
Vì 200<1000=>2004<20003=>20020<200015=>19920<201715
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Có : 199^20 < 200^20 = (200^4)^5 = (200^3.200)^5 < (200^3.1000)^5 = (200^3.10^3)^5 = (2000^3)^5 = 2000^15
2017^15 > 2000^15
=> 199^20 < 2017^15
k mk nha
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199\(^{20}\)=(199\(^4\))\(^5\)=(1568239201)\(^5\)
2017\(^{15}\)
=(2017\(^3\))\(^5\)=(8205738913)\(^5\)
1568239201<8205738913
\(\Rightarrow\)199\(20\)<2017\(15\)
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a có: 199^20 < 200^20 = (8.25)^20 = (2^3.5^2)^20 = 2^60.5^40
2003^15 > 2000^15 = (16.125)^15 = (2^4.5^3)^15 = 2^60.5^45
Vậy 2003^15 > 199^20
học tốt!!!
Ta có :
19920 < 21620 = ( 63 )20 = 660
200315 > 129615 = ( 64 )15 = 660
Vì 19920 < 660 < 200315
=> 19920 < 200315
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2115 = (3.7)15 = 315. 715
275. 498 = ( 33)5 . (72)8 = 315. 716
=> 315. 715 < 315. 716
Vậy 2115 < 275 . 498
< Tíc mình nhé ! > Dương Thị Hoài
2115 = (3.7)15 = 315. 715
275. 498 = ( 33)5 . (72)8 = 315. 716
=> 315. 715 < 315. 716
Vậy 2115 < 275 . 498
2017 lớn hơn rồi
phải giải thích vì sao lớn hơn chứ