10^30=(10^3)^10=1000^10
2^100=(2^10)^10=1024^10
=>10^30<2^100
vậy.....
5^40=(5^4)^10=625^10
=>5^40>620^10
\(a,\) Ta có : \(10^{30}=\left(10^3\right)^{10}=1000^{10}\)
\(2^{100}=\left(2^{10}\right)^{10}=1024^{10}\)
Vì \(1000^{10}< 1024^{10}\Rightarrow10^{30}< 2^{100}\)
\(b,\)Ta có : \(5^{40}=\left(5^4\right)^{10}=625^{10}\)
Vì \(625^{10}>620^{10}\Rightarrow5^{40}>620^{10}\)
a) \(10^{30}=\left(10^3\right)^{10}=1000^{10}\)
\(2^{100}=\left(2^{10}\right)^{10}=1024^{10}\)
\(\Rightarrow1000^{10}< 1024^{10}\Rightarrow10^3< 2^{100}\)
b) \(5^{40}=\left(5^4\right)^{10}=625^{10}\)
\(\Rightarrow625^{10}>620^{10}\Rightarrow5^{40}>620^{10}\)
\(a.10^{30}=10^{3.10}=\left(10^3\right)^{10}=1000^{10}\)
\(2^{100}=2^{10.10}=\left(2^{10}\right)^{10}=1024^{10}\)
Vì \(1000^{10}< 1024^{10}\)nên \(10^{30}< 2^{100}\)
\(b.5^{40}=5^{4.10}=\left(5^4\right)^{10}=625^{10}\)
Vì \(625^{10}>624^{10}\)nên \(5^{40}>620^{10}\)
