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Đáp án:

`↓↓↓`

Giải thích các bước giải:

`10^6:100`

`=10^6:10^2`

`=(10)^{6-2}`

`=10^4`

`------------------`

`4^10:64^3`

`=4^10:(4^{3})^{3}`

`=4^{10}:4^{9}`

`=(4)^{10-9}`

`=4`

`------------------`

`125^4:5^8`

`=(5^3)^4:5^8`

`=5^{12}:5^8`

`=5^{12-8}`

`=5^{4}`

`------------------`

`5^9:25^3`

`=5^9:(5^2)^3`

`=5^9-5^6`

`=5^{9-6}`

`=5^3`

`------------------`

`2^{25}:32^{4}`

`=2^{25}:(2^5)^4`

`=2^{25}-2^{20}`

`=2^{25-20}`

`=2^{5}`

`------------------`

`36^5:18^5`

`=(6^2)^5:(6.3)^5`

`=6^{10}:6^{5}:3^{5}`

`=6^{10-5}:3^{5}`

`=6^{5}:3^{5}`

`=(2.3)^{5}:3^{5}`

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

`=2^{5}`

`------------------`

`125^{7}:25^{9}`

`=(5^3)^{7}:(5^2)^{9}`

`=5^{21}:5^{18}`

`=5^{21-18}`

`=5^3`

`------------------`

`625^{7}:125^{5}`

`=(5^4)^{7}:(5^2)^{5}`

`=5^{28}:5^{10}`

`=5^{28-10}`

`=5^{18}`

`------------------`

`8^{12}:16^{3}`

`=8^{12}:(8.2)^{3}`

`=8^{12}:8^{3}:2^{3}`

`=8^{12-3}:2^{3}`

`=8^{8}:2^{3}`

`=(4.2)^{8}:2^{3}`

`=4^{8}.2^{8}:2^{3}`

`=4^{8}.2^{8-3}`

`=4^{8}.2^{5}`

`=(2^2)^{8}.2^{5}`

`=2^{16}.2^{5}`

`=2^{16+5}`

`=2^{21}`

`------------------`

Áp dụng các kiến thức :

`a^{m}.a^{n}=a^{m+n}`

`a^{m}:a^{n}=a^{m-n}`

`(a.b)^{m}=a^{m}.b^{m}`