Question

CTR 4^50+8^33+16^24 chia hết cho 100

 

Answer 1

\(4^{50}+8^{33}+16^{24}=\left(2^2\right)^{50}+\left(2^3\right)^{33}+\left(2^4\right)^{24}\)

\(=2^{100}+2^{99}+2^{96}=2^{96}\left(2^4+2^3+1\right)\)

\(=2^{96}.25=2^{94}.2^2.25=2^{94}.100⋮100\)