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A, 210x13+210x65/28x104
=210x(13+65)/28x4x26
=210x78/28x22x26
=210x78/210x26
=78/26
=3
b, (1+2+3+...+100)x(12+22+32+...+102)x(65x111-13.15.37)
=(1+2+3+...+100)x(12+22+..+102)x(7215-7215)
=(1+2+..+100)x(12+22+..+102)x0
=0
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
65 × 111 - 13 × 15 × 37
= 5 × 13 × 3 × 37 - 13 × 3 × 5 × 37
= 0
Vì 0 nhân với bất kì số nào cũng = 0 nên biểu thức trên = 0
\(\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+10^2\right).\left(65.111-13.15.37\right)\)
\(\left(1+2+3+...100\right).\left(1^2+2^2+3^2+...+10^2\right).\left(13.5.111-13.15.37\right)\)
\(\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+10^2\right).\left(13.15.37-13.15.37\right)\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
dai the giai bao gio xong chac mua quyt nam sau moi giai xong
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Bài 1:
2\(x\) = 4
2\(^x\) = 22
\(x=2\)
Vậy \(x=2\)
Bài 2:
2\(^x\) = 8
2\(^x\) = 23
\(x=3\)
Vậy \(x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{10.\left(4^6.9^5+6^9.120\right)}{8^4.3^{12}-6^{11}}\)
=\(\frac{2.5.\left[\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5\right]}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
=\(\frac{2^{13}.5.3^{10}+2^{13}.5^2.3^{10}}{2^{12}.3^{12}-3^{11}.2^{11}}\)
=\(\frac{2^{13}.5.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
=\(\frac{4.5.6}{3.5}\)
= 8
\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
\(=\frac{2^{10}.\left(13+65\right)}{2^8.104}\)
\(=\frac{2^8.2^2.81}{2^8.104}\)
\(=\frac{2^8.4.81}{2^8.104}\)
\(=\frac{2^8.324}{2^8.104}\)
\(=\frac{324}{104}\)
\(=\frac{81}{26}\)
\(\frac{2^{10}×13+2^{10}×65}{2^8×104}\)
\(=\frac{2^{10}×\left(13+65\right)}{2^8×104}\)
\(=\frac{2^8×2^2×81}{2^8×104}\)
\(=\frac{2^2×81}{104}\)
\(=\frac{324}{104}\)
\(=\frac{81}{26}\)
Làm cách này nhanh hơn nhé , bạn Xyz