\(5^{200}=25^{100}\)
\(2^{500}=32^{100}\)
mà 25<32
nên \(5^{200}< 2^{500}\)
5^200=(5^2)^100=25^100<32^100=(2^5)^100=2^500
Vậy 5^200<2^500
2k9 nhớ nha
Ta có : 5^200 = 5^2.100 = ( 5^2 )^100 = 25^100
2^500 = 2^5.100 = ( 2^5 )^100 = 32^100
Vì 25^100 < 32^100
=> 5^200 < 2^500