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![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(A=\left(2^3\right)^2\cdot\left(2^5\right)^4=2^6\cdot2^{20}=2^{26}\)
b: \(=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)
\(A=8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)
\(B=27^3.9^4.243=\left(3^3\right)^3.\left(3^2\right)^4.3^5=3^9.3^8.3^5=3^{22}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(3^3.3^4=3^{3+4}=3^7\)
\(5^2.5^7=5^{2+7}=5^9\)
\(7^5.7=7^{5+1}=7^6\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,3^3.3^4=3^{3+4}=3^7\)
\(b,5^2.5^7=5^{2+7}=5^9\)
\(c,7^5.7=7^{5+1}=7^6\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(16^2:4^2\)
\(=\left(4^2\right)^2:4^2\)
\(=4^4:4^2\)
\(=4^{4-2}\)
\(=4^2\)
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\(25^5:5^2\)
\(=\left(5^2\right)^5:5^2\)
\(=5^{10}:5^2\)
\(=5^{10-2}\)
\(=5^8\)
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\(9^8:3^2\)
\(=\left(3^2\right)^8:3^2\)
\(=3^{16}:3^2\)
\(=3^{16-2}\)
\(=3^{14}\)
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\(a^6:a\)
\(=a^{6-1}\)
\(=a^5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(3^5.3^7=3^{5+7}=3^{12}\)
b) \(a^5.a=a^{5+1}=a^6\)
c) \(5^4:5^3=5^{4-3}=5^1=5\)
d) \(a^3:a^3=a^{3-3}=a^0=1\)
a) 25 . 102 . 4 b) 32 . 8 . 64
= 52 . 102 . 22 = 25 . 23 . 26
= ( 5 . 10 . 2 )2 = 25 + 3 + 6
= 1002 = 214
c) 125 . 104 . 8 : 103
= 1000 . 104 : 103
= 103 . 104 : 103
= 104
sorry nk kq câu c là 104