Question

[baby girl]

bài 1) so sánh các số sau:

a) 5³⁶ và 11²⁴

b)2¹⁰⁰⁰  và 1024⁹

c)9¹² và 27⁷

Answer 1

[Zzz_YêU KeN KaNeKi_zzZ]

a) Ta có \(5^{36}=\left(5^3\right)^{12}=125^{12}\)
\(11^{24}=\left(11^2\right)^{12}=121^{12}\)
Vì \(125^{12}>121^{12}\Rightarrow5^{36}>11^{24}\)
b) Ta có \(1024^9=\left(2^{10}\right)^9=2^{90}\)
Vì \(2^{1000}>2^{90}\Rightarrow2^{1000}>1024^9\)
c) Ta có \(9^{12}=\left(3^2\right)^{12}=3^{24}\)
\(27^7=\left(3^3\right)^7=3^{21}\)
Vì \(3^{24}>3^{21}\Rightarrow9^{12}>27^7\)

Answer 2

[baby girl]

thanks bạn nhé!