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![](https://rs.olm.vn/images/avt/0.png?1311)
\(a)9.4.25.8.125\)
\(=9.\left(4.25\right).\left(8.125\right)\)
\(=9.100.1000\)
\(=900.1000\)
\(=900000\)
\(a,9.4.25.8.125=9.\left(4.25\right).\left(8.125\right)=9.100.1000=900000\)
\(b,25.5.27.2\)(câu này hình như thiếu đề, ko tính nhanh đc)
\(c,37.7+80.3+43.7\)\(=7.\left(37+43\right)+80.3\)\(=7.80+3.80=80\left(7+3\right)=80.10=800\)
\(d,113.38+113.62+87.62+87.38\)\(=113\left(38+62\right)+87\left(62+38\right)\)
\(=113.100+87.100=100.\left(113+87\right)=100.200=20000\)
Viết gọn lũy thừa:
\(a,x.x.y.y.x.y.x=\left(x.x.x.x\right).\left(y.y.y\right)=x^4.y^4\)
\(b,7^5:343=7^5:7^3=7^{5-3}=7^2\)
\(c,A^{12}:A^{18}=A^{12-18}=A^{-6}\)
\(d,x^7.x^4.x=x^{7+4+1}=x^{12}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(S=1+3^2+3^4+...+3^{2022}\)
\(3^2S=9S=3^2+3^4+3^6+...+3^{2024}\)
\(S=\dfrac{9S-S}{8}=\left(3^{2024}-1\right):8\)
d, không đáp án nào đúng
Lời giải:
$S=1+3^2+3^4+....+3^{2022}$
$9S=3^2S=3^2+3^4+3^6+...+3^{2024}$
$\Rightarrow 9S-S=3^{2024}-1$
$\Rightarrow S=\frac{3^{2024}-1}{8}$
Đáp án D.
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(6^2:4\times3+2\times5^2\)
\(=36:4\times3+2\times25\)
\(=9\times3+50\)
\(=27+50\)
\(=77\)
b) \(125+70+375+230\)
\(=\left(125+375\right)+\left(70+230\right)\)
\(=500+300\)
\(=800\)
c) \(150:\left[25\times\left(18-4^2\right)\right]\)
\(=150:\left[25\times\left(18-16\right)\right]\)
\(=150:\left[25\times2\right]\)
\(=150:50\)
\(=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 113.38+87.62+113.62+87.38
=(113.38+87.38)+(87.62+113.62)
=38.(113+87)+62.(87+113)
=38.200+62.200
=200.(38+62)
=200.100
=20000
b) 2.125.18+3.12.252+4.223.9
= 2.18.125+3.12.252+4.9.223
=36.125+36.252+36.223
=36.(125+252+223)
=36.500
=18000
Chúc bạn học tốt~~~
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 5. 42 - 18 : 32 = 5 . 16 -18 : 9 = 80 - 2 = 78
b) 33 .18 -33 .12 = 33 . 6 = 27 .6 = 162
c) 39 . 213 + 87 . 39 = 39 . ( 213 + 87 ) = 39 . 300 = 11700
d) 80 - [ 130 - ( 12 - 4 ) .2 ] = 80 - (130 - 8.2 ) = 80 - 114 = -34
OK
a; A = (32.5 - 160: 22) + 2024
A = (9.5 - 160 : 4) + 2024
A = (45 - 40) + 2024
A = 5 + 2024
A = 2029
b; B = (-360) - (-87) + 69 - 87
B = -360 + 87 + 69 - 87
B = - (360 - 69) + (87 - 87)
B = - 291 + 0
B = -291
c; C = 182.26 - 82.26 + 500
C = 26.(182 - 82) + 500
C = 26.100 + 500
C = 2600 + 500
C = 3100