Question

So sánh các số sau

d,\(2^{300}\) và \(303^{202}\)        e, \(99^{20}\) và \(9999^{10}\)  f,\(11^{1979}\) và \(37^{1320}\)

g, \(10^{10}\)và\(48.50^5\) h,\(1990^{10}\) +và \(1991^{10}\)

Answer 1

f: 11^1979<11^1980=1331^660

37^1320=(37^2)^660=1369^660

1331<1369

=>1331^660<1369^660

=>11^1980<37^1320

=>11^1979<37^1320

g: 10^10=2^10*5^10

48*50^5=2^4*3*2^5*5^10=2^9*3*5^10

2^10<2^9*3

=>2^10*5^10<2^9*3*5^10

=>10^10<48*50^5