Đáp án+Giải thích các bước giải:

`1)`

 `a)` `2^(10):32=2^(10):2^(5)=2^(10-5)=2^(5)`

`b)10^(6):100=10^(6):10^(2)=10^(6-2)=10^(4)`

`c)5^(9):125=5^{9}:5^{3}=5^{9-3}=5^{6}`

`d)4^{10}:64=4^{10}:4^{3}=4^{10-3}=4^{7}`

`e)2^{25}:64=2^{25}:2^{6}=2^{25-6}=2^{19}`

`g)11^{5}:11^{2}:11^{2}=11^{5-2-2}=11^{1}`

`2)`

`a)`

`[(8+2)^{2}.10^{100}]:(10^{0}.10^{94})`

`=(10^(2).10^(100))/(10^{0+94})`

`=(10^{100+2})/(10^{94})`

`=10^{100+2-94}`

`=10^{8}`

`b)`

`a^{9}:a^{9}` `(a\ne0)`

`=a^{9-9}`

`=a^{0}`

`c)`

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

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

`=2^{5}.2^{9}`

`=2^{5+9}`

`=2^{14}`

`d)`

`4^{8}.2^{20}`

`=(2^{2})^{8}.2^{20}`

`=2^{16}.2^{20}`

`=2^{16+20}`

`=2^{36}`

`e)`

`9^{12}.27^{5}.81^{4}`

`=(3^{2})^{12}.(3^{3})^{5}.(3^{4})^{4}`

`=3^{24}.3^{15}.3^{16}`

`=3^{24+15+16}`

`=3^{55}`