Có : 45^10 x 5^30 = 5^10 x 9^10 x 5^30 = 5^40 x 9^10 = (5^2)^20 x (3^2)^20 = 25^20 x 3^20 = (25 x 3)^20 = 75^20
=> ĐPCM
k mk nha
Ta có: 75^20 = ( 75^2 )^10 = 5625^10
5^30 = ( 5^3 )^10 = 125^10
=> 45^10 * 125^10 = ( 45 * 125 )^10 = 5625^10
=> 75^20 = 45^10 * 5^30
CaM mon bn nhiu nha
Mk k pk lm j cho bn ca mk ms vo thoi
\(75^{20}=45^{10}.5^{30}\)
\(5^{10}.3^{20}.5^{30}=5^{40}.3^{20}\)
\(5^{10+30}.3^{20}=5^{40}.3^{20}\)
\(5^{40}.3^{20}=5^{40}.3^{20}\)
\(\Rightarrow\)2 đẳng thức = nhau
vậy \(75^{20}=45^{10}.5^{30}\)
