\(12^2.3.12^3.4=\left(4.3\right)^2.3.4=4^2.3^2.3.4=3^3.4^3=27.64=1728\)

\(12^2.3.12^3.4=12^5.3.4=\left(3.4\right)^5.3.4=3^5.4^5.3.4=3^6.4^6=729.4096=\text{2985984}\)

\(3^6.4^6\)

36³

<img src=https://hoc24.vn/images/avt/avt30201979_256by256.jpg><img src=https://hoc24.vn/images/avt/avt30201979_256by256.jpg>

\(5^{12}.25^4.125^3.625^2=5^{12}.\left(5^2\right)^4.\left(5^3\right)^3.\left(5^4\right)^2=5^{12}.5^8.5^9.5^8=5^{37}\)

=2.2.2.2.3.2.3.2.2

=2⁷.3²

2.2.4.6.12=2.2.2².2.3.2².3=2⁷.3²

2 . 2 . 4 . 6 . 12 = ( 2 . 2 ) . ( 2 . 2 ) . ( 6 : 3 ) . ( 12 : 6 ) = 2 . 2 . 2 . 2 . 2 . 2 = 2 mũ 6

a)4¹⁴.5²⁸

=4¹⁴.(5²)¹⁴

=4¹⁴.25¹⁴

=(4.25)¹⁴=100¹⁴

b)12ⁿ:2²ⁿ

=12ⁿ:(2²)ⁿ

=12ⁿ:4ⁿ

=(12:4)ⁿ=3ⁿ

thanks

a, \(4^{14}.5^{28}\)

\(4^{14}.5^{28}=4^{14}.\left(5^2\right)^{14}\)

\(=4^{14}.25^{14}=\left(4.25\right)^{14}=100^{14}\)

2⁵ . 4³ = 2⁵ . (2²)³ = 2⁵ . 2⁶ = 2^{5 + 6} = 2¹¹

\(2^{11}\)

\(2^5\cdot4^3=2^5\cdot2^6=2^{11}\)

9^8:3^2=(3^2)^8:3^2=3^16:3^2=3^16-2=3^14

\(2^4.8=2^4.2^2=2^6=64\)

Sorry Tui nhầm .. 

\(2^4.8=2^4.2^3=2^7=124\)

2.4.8

=2\(^1\).2\(^2\).2\(^3\)

=2\(^{\left(1+2+3\right)}\)

=2\(^6\)

=64