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\(5^{120}=\left(5^2\right)^{60}=25^{60}\)
\(3^{183}=\left(3^3\right)^{61}=27^{61}\)
\(27^{61}>27^{60}>25^{60}\Rightarrow3^{183}>5^{120}\)
5120=(52)60=2560
3183=(33)61=2761
2560<2761=>5120<2761
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\(32^9=\left(2^5\right)^9=2^{5.9}=2^{45}\)
\(18^{13}< 16^{23}=\left(2^4\right)^{13}=2^{52}\)
Vì \(2^{45}< 2^{52}\Rightarrow2^{45}< 18^{13}\)
Vậy \(32^9< 18^{13}\)
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a )
2100+2100= 2100(1+1) =2100.2 = 2100+1= 2101
b)
3100+3100 = 3100(1+1) = 2.3100
3101= 3100.3
ta thấy 3. 3100 > 2.3100 Vậy 3101 > 3100+3100
c) 20177012 > 20172337.3 >>> 80002337
70122017 < 80002337
suy ra: 20177012 >>> 70122017
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a) ta thấy
2638=(2.13)38=238.1338
6425=(23.8)25=228.825
ta dễ dàng nhận thấy: 228<238 và 825<1338 nên:
2638>6425