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a: \(A=10^{30}=1000^{10}\)
\(B=2^{100}=1024^{10}\)
mà 1000<1024
nên A<B
b: \(A=3^{450}=27^{150}\)
\(B=5^{300}=25^{150}\)
mà 27>25
nên A>B
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a 10^30 va 2^100
ta co 10^30 =(10^3)^10 =30^10
2^100=(2^10)^10 =20^10
=>30^10>20^10 =>10^30>2^100
Bai nay de ma bn
Bn tinh gia tri cac so ra xong so sanh!
Bn tu lam nha,mk chi goi y thui
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540và 62010
Ta có: 5040=(54)10=62510
Vì 625>620
=> 62510<62010
Vậy 540<62010
a) \(5^{40}=\left(5^4\right)^{10}=625^{10}\)
Vì \(625^{10}>620^{10}\Rightarrow5^{40}>620^{10}\)
b) \(7^{300}=\left(7^2\right)^{150}=49^{150}\)
\(5^{450}=\left(5^3\right)^{150}=125^{150}\)
Vì \(49^{150}< 125^{150}\Rightarrow7^{300}< 5^{450}\)
c) \(333^{444}=\left(111.3\right)^{444}=111^{444}.3^{444}=111^{444}.\left(3^4\right)^{111}=111^{444}.81^{111}\)
\(444^{333}=\left(111.4\right)^{333}=111^{333}.4^{333}=111^{333}.\left(4^3\right)^{111}=111^{333}.64^{111}\)
Vì \(111^{444}.81^{111}>111^{333}.64^{111}\Rightarrow333^{444}>444^{333}\)
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