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a) \(144=12.12=2^2.3.2^2.3=2^4.3^2\)
\(420=60.7=2^2.3.5.7\)
b) \(60=4.15=2^2.3.5\)
\(132=4.33=2^2.3.11\)
c) \(60=4.15=2^2.3.5\)
\(90=18.5=2.3^2.5\)
d) \(220=20.11=2^2.5.11\)
\(240=8.30=2^3.2.3.5=2^4.3.5\)
\(300=3.100=3.10^2=2^2.3.5^2\)
e) \(12^3.8^5=\left(2^2.3\right)^3.\left(2^3\right)^5=2^6.3^3.2^{15}=2^{21}.3^3\)
f) \(10^{15}=\left(2.5\right)^{15}=2^{15}.5^{15}\)
a) 144 = 12 ^ 2 ; 420 = 2 ^ 2 . 3 . 5 . 7
b)60 = 2^2 . 3 . 5 ; 132 = 2^2 . 3. 11
c)90 = 2 . 3^2 . 5
d) 220 = 2^2 . 5 . 11 ; 240 = 2^4 . 3 . 5 ; 300 = 2^2 . 3 . 5^2
e) 12^3 . 8^5 = 56623104 = 2^21 . 3^3
f) 10^15 mình chịu =))
a) 54=2.33; 48=23.6 b)45=5.32 ; 60=22.3.5 c)48=24.3 ; 72=22.32 ;90=2.32.5
TSNT chung:2 TSNT chung:3;5 TSNT chung:2;3
ƯCLN(54;48)=2=2 ƯCLN(45;60)=3.5=15 ƯCLN(48;72;90)=2.3=6
ƯC(54;48)=Ư(2)={1;2} ƯC(45;60)=Ư(15)={1;3;5;15} ƯC(48;72;60)=Ư(6)={1;2;3;6}
\(a,A=2024=2^3\times11\times23\\B=8^5\times 125^6=\left(2^3\right)^5\times\left(5^3\right)^6=2^{15}\times5^{18}\\ b,Ư\left(84\right)=\left\{1;2;3;4;6;7;12;14;21;28;42;84\right\}\\\Rightarrow x\in\left\{1;2;3;4;6;7;12;14;21;28;42;84\right\}\\ x\in B\left(21\right)=\left\{0;21;42;63;84;105;126;147;168;189;210;....\right\}\)
a,
c,