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a) `7^4 .7^5 .7^6 = 7^(4+5+6)=7^(15)`
b) `(54:3^7) .324 =( 2.3^3 : 3^7).2^2 x3^4`
`=(2: 3^4).3^4 .2^2`
`= 2.2^2=2^3`
c) `[(8+2^2).10^100] : (10^0 .10^94)`
`=(12 . 10^100) : 10^94`
`=12 . (10^100 : 10^94)`
`=12 . 10^6`
d) `a^9 :a^9 = a^(9-9)=a^0`
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 5 4 : 5 2 = 5 4 - 2 = 5 2
b) 11 4 : 11 2 = 11 2
c) 10 7 : 10 2 : 10 3 = 10 2
d) a 11 : a 7 : a = a 3
![](https://rs.olm.vn/images/avt/0.png?1311)
2:
a: n=5^4
=>n=625
b: n^3=125
=>n^3=5^3
=>n=5
c: 11^n=1331
=>11^n=11^3
=>n=3
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(15^3\cdot5\cdot15^4\cdot3\)
\(=15^3\cdot15^4\cdot\left(5\cdot3\right)\)
\(=15^3\cdot15^4\cdot15\)
\(=15^{4+3+1}\)
\(=15^8\)
b) \(243:3^3\)
\(=3^5:3^3\)
\(=3^{5-3}\)
\(=3^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 76:74 = 76−4 = 72
b) 1091100: 1091100 = 1091100−100 = 10910
a) \(a^9:a^7\cdot\left(a^2\right)^2\)
\(=a^9:a^7\cdot a^4\)
\(=a^2\cdot a^4\)
\(=a^6\)
b) \(\left(ab\right)^6:b^5:b\)
\(=a^6b^6:b^4\)
\(=a^6b^2\)
thanks![yeu yeu](https://hoc24.vn/vendor/cke24/plugins/smiley/images/yeu.png)