Giúp mình với các bn

  $\color{violet}{bingan}$

Đáp án + giải thích các bước giải:

`1.`

`a) (8 . 8) . (6 . 6 . 6) . (7 . 7 . 7) = 8^{2} . 6^{3} . 7^{3}`

`= (2^{3})^{2} . (2 . 3)^{3} . 7^{3}`

`= 2^{6} . 2^{3} . 3^{3} . 7^{3}`

`= 2^{9} . 3^{3} . 7^{3}`

`b) 2 . (3 . 3) . (5 . 5 . 5 . 5)`

`= 2 . 3^{2} . 5^{4}`

`c) (5 . 5 . 5 . 5) . (4 . 4 . 4)`

`= 5^{4} . 4^{3}`

`d) 1000 . 10 . 10 . 10`

`= 10^{3} . 10 . 10 . 10`

`= 10^{6}`

`e) 16 . 4 . 4 . 2 . 2 . 8`

`= 2^{4} . 2^{2} . 2^{2} . 2^{3}`

`= 2^{11}`

`f) 8 . 8 . 10 . 25 . 16`

`= 2^{3} . 2^{3} . 2 . 5 . 5^{2} . 2^{4}`

`= (2^{3} . 2^{3} . 2 . 2^{4}) . (5 . 5^{2})`

`= 2^{11} . 5^{3}`

`2.` 

`a) A = 8^{2} . 32^{4}`

`= (2^{3})^{2} . (2^{5})^{4}`

`= 2^{6} . 2^{20}`

`= 2^{26}`

`b) B = 27^{3} . 9^{4} . 243`

`= (3^{3})^{3} . (3^{2})^{4} . 3^{5}`

`= 3^{9} . 3^{8} . 3^{5}`

`= 3^{22}`

`c) C = 6^{2} . 36^{4} . 216^{2}`

`= (3 . 2)^{2} . (2^{2} . 3^{2})^{4} . (2^{3} . 3^{3})^{2}`

`= 3^{2} . 2^{2} . 2^{8} . 3^{8} . 2^{6} . 3^{6}`

`= (3^{2} . 3^{8} . 3^{6}) . (2^{2} . 2^{8} . 2^{6})`

`= 3^{16} . 2^{16}`

`d) D = 3^{4} . 81^{2} . 9^{5}`

`= 3^{4} . (3^{4})^{2} . (3^{2})^{5}`

`= 3^{4} . 3^{8} . 3^{10}`

`= 3^{22}`