Question

a = 3⁴.15³.5⁴    ; b = 3².10.22⁷
a) phân tích a,b ra TSNT 
b) tìm ƯC(a,b)

Answer 1

\(a=3^4\cdot15^3\cdot5^4\)                                  
\(a=3^4\cdot3^3\cdot5^3\cdot5^4\)

\(a=3^7\cdot5^7\)

\(b=3^2\cdot10\cdot22^7\)

\(b=3^2\cdot2\cdot5\cdot11^7\cdot2^7\)

\(b=3^2\cdot2^8\cdot5\cdot11^7\)

\(=>UCLN\left(a;b\right)=\)\(3^2\cdot5=45\)

Answer 2

\(a,a=3^4.5^3.3^3.5^4=3^7.5^7\)VÀ   \(b=3^2.2.5.11^7.2^7=2^7.3^2.6.11^7\)