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\(C=\frac{21^2.14.125}{35^3.6}\)
\(C=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^3.2.3}\)
\(C=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)
\(C=\frac{3^2.7^3.2.5^3}{5^3.7^3.2.3}=3\)
\(D=\frac{45^3.20^4.18^2}{180^5}\)
\(D=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
\(D=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)
\(D=\frac{5^7.3^{10}.2^{10}}{2^{10}.3^{10}.5^5}=5^2=25\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{21^2\cdot14\cdot125}{35^2\cdot6}=\frac{3^2\cdot7^2\cdot2\cdot25\cdot3}{5^2\cdot7^2\cdot2\cdot3}=\frac{3^4\cdot7^2\cdot2\cdot5^2}{5^2\cdot7^2\cdot2\cdot3}=3^3=27..\)
\(\frac{45^3\cdot20^4\cdot18^2}{180^5}=\frac{5^3\cdot9^3\cdot4^4\cdot5^4\cdot2^2\cdot9^2}{2^{10}\cdot3^{10}\cdot5^5}=\frac{5^7\cdot9^5\cdot4^4}{4^5\cdot9^5\cdot5^5}=\frac{1}{4}=0.25\)
![](https://rs.olm.vn/images/avt/0.png?1311)
453 = (9.5)3 = 36.53
204 = (4.5)4 = 28.54
182 = (9.2)2 = 34.22
1805 = (4.9.5)5 = 210.310.55
\(=\dfrac{3^6.5^3.2^8.5^4.3^4.2^2}{2^{10}.3^{10}.5^5}=\dfrac{2^{10}.3^{10}.5^7}{2^{10}.3^{10}.5^5}=5^2=25\)
\(B=\dfrac{11.3^{29}-3^{30}}{4.3^{28}}=\dfrac{3^{29}\left(11-3\right)}{3^{28}.4}=\dfrac{3.8}{4}=6\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(b\)
\(\frac{2^{13+5}}{2^{10+2}}\)=\(\frac{2^{18}}{2^{12}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(E=\frac{45^2.20^4.18^2}{180^3}\)
=> \(E=\frac{\left(3^2.5\right)^2.\left(2^2.5\right)^4.\left(3^2.2\right)^2}{\left(2^2.3^2.5\right)^3}\)
=> E = \(\frac{3^4.5^2.2^8.5^4.3^4.2^2}{2^6.3^6.5^3}\)
=> E = \(\frac{3^8.5^6.2^{10}}{2^6.3^6.5^3}\)
=> E = \(3^2.5^3.2^4=18000\)
= \(\frac{45^2.4^4.5^49^2.2^2}{45^2.5.9.4^3}=4.5^3.9.2^2=18000\)
em zì ơi t.i.c.k a với nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
Mình ko kẻ được kẻ ngang nên làm như thế này còn nếu bn chép lại thì dấu chia cứ thay bằng dấu kẻ ngang là được
Ta có :
453⋅204⋅182:1805
=53⋅93⋅44⋅54⋅92⋅22:(55⋅95⋅45)
=57⋅95⋅44⋅4:(55⋅95⋅45)
=57⋅95⋅45:(55⋅95⋅45)
ta có tử =453x204x182=45x45x45x20x20x20x20x18x18
=45x45x45x4x5x4x5x4x5x4x5x18x18
=(45x4x45x4x45x4)x4x5x5x5x5x18x18
=(180x180x180)x4x5x5x5x5x9x2x9x2
=(180x180x180)x(4x5x9x2x2x5x9)x5x5
=(180x180x180x180x180)x25
=1805x25
lại có:180mũ5x25:180mux5=25
H= 45^3.20^4.18^2/ 180^5 = (3^2.5)^3.(2^2.5)^4.(2.3^2)^2/ (2^2.3^2.5)^5 = 3^6.5^3.2^8.5^4.2^2.3^4/ 2^10.3^10.5^5 = 3^10.5^7.2^10/ 2^10.3^10.5^5 = 5^2=25