Toán Lớp 6: SO SÁNH
2^300;3^200
5^100;4^25
2^2019;2^2018.2017
2^4;4^2
100^50;50^100
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Toán Lớp 6: SO SÁNH
2^300;3^200
5^100;4^25
2^2019;2^2018.2017
2^4;4^2
100^50;50^100
Comments ( 2 )
2^300=(2^3)^100=8^100
3^200=(3^2)^100=9^100
Vì 1<8<9=>8^100<9^100=>2^300<3^200
Vậy 2^300<3^200
5^100=(5^4)^25=625^25
Vì 1<4<625=>4^25<625^25=>4^25<5^100
Vậy 4^25<5^100
2^2019=2^[1.2018]=2^2018. 2
Vì 1<2<2017=>2^2018. 2<2^2018. 2017=>2^2019<2^2018. 2017
Vậy 2^2019<2^2018. 2017
2^4=2.2.2.2=16
4^2=4.4=16
Vì 16=16=>2^4=4^2
Vậy 2^4=4^2
Ta có:
50^100=(50^2)^50=2500^50
Vì 1<100<2500=>100^50<2500^50=>100^50<50^100
Vậy 100^50<50^100