Question

Chung minh rang:

a/ 36^20-9^10 : 405

b/ 8^12-2^33-2^30 : 55

c/ 8^7-2^18 :14

d/ 10^6-5^7 ;59

Answer 1

b: \(8^{12}-2^{33}-2^{30}\)

\(=2^{36}-2^{33}-2^{30}\)

\(=2^{30}\left(2^6-2^3-1\right)=2^{30}\cdot55⋮55\)

c: \(8^7-2^{18}=2^{21}-2^{18}\)

\(=2^{18}\left(2^3-1\right)=2^{17}\cdot14⋮14\)

d: \(10^6-5^7\)

\(=2^6\cdot5^6-5^7\)

\(=5^6\left(2^6-5\right)=5^6\cdot59⋮59\)