a) \(99^{20}=\left(99^2\right)^{10}=\left(99.99\right)^{10}\)
\(9999^{10}=\left(99.101\right)^{10}\)
Ta thấy \(99.100>99.99\Rightarrow\left(99.99\right)^{10}< \left(99.101\right)^{10}\Leftrightarrow99^{20}< 9999^{10}\)
b) Ta có : \(202^{303}=\left[\left(2.101\right)^3\right]^{101}=8^{101}.101^{303}\)
\(303^{202}=\left[\left(3.101\right)^2\right]^{101}=9^{101}.101^{202}\)
Tự làm tiếp nha bn
a)9920 và 99910
Ta có:ƯCLN(20;10)=10
\(\Rightarrow99^{20}=\left(99^2\right)^{10}\)
\(9999^{10}=\left(9999^1\right)^{10}\)
\(99^2=9801< 9999\)
\(\Rightarrow99^{20}< 9999^{10}\)
a) ta có: \(99^{20}=99^{10}.99^{10}\)
\(9999^{10}=\left(99.101\right)^{10}=99^{10}.101^{10}\)
\(\Rightarrow99^{10}< 101^{10}\Rightarrow99^{10}.99^{10}< 99^{10}.101^{10}\)
\(\Rightarrow99^{20}< 9999^{10}\)
c) ta có: \(10^{10}=\left(10^2\right)^5=100^5=\left(2.50\right)^5=2^5.50^5=32.50^5\)
\(\Rightarrow48>32\Rightarrow48.50^5>32.50^2\)
\(\Rightarrow48.50^5>10^{10}\)
xl bn nha! nhưng 2 câu còn lại, mk s bk!
