99999+6+54+4++8+5+4++2+11+2144446514+66
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\dfrac{3}{7}\right)^2\cdot\left(-7\right)^4=\dfrac{9}{49}\cdot49^2=9\cdot49=441\)
\(\left(-11\right)^{12}\cdot\left(\dfrac{4}{11}\right)^4=11^{12}\cdot\dfrac{4^4}{11^4}=11^8\cdot4^4=54875873536\)
\(\left(-6\right)^8\cdot\left(\dfrac{5}{6}\right)^7=6^8\cdot\dfrac{5^7}{6^7}=6\cdot5^7=469750\)
4) \(\left(\dfrac{3}{7}\right)^2\cdot\left(-7\right)^4\)
\(=\left(\dfrac{3}{7}\right)^2\cdot\left[\left(-7\right)^2\right]^2\)
\(=\left(\dfrac{3}{7}\right)^2\cdot49^2\)
\(=\left(\dfrac{3}{7}\cdot49\right)^2\)
\(=\left(\dfrac{147}{7}\right)^2\)
\(=21^2\)
\(=441\)
5) \(\left(-11\right)^{12}\cdot\left(\dfrac{4}{11}\right)^6\)
\(=\left[\left(-11\right)^2\right]^6\cdot\left(\dfrac{4}{11}\right)^6\)
\(=121^6\cdot\left(\dfrac{4}{11}\right)^6\)
\(=\left(121\cdot\dfrac{4}{11}\right)^6\)
\(=44^6\)
6) \(6^8\cdot\left(\dfrac{5}{7}\right)^7\)
\(=6^8\cdot\dfrac{5^7}{6^7}\)
\(=\dfrac{6^8\cdot5^7}{6^7}\)
\(=6\cdot5^7\)
\(=469750\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Mình nghĩ đề đúng là :
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(=\frac{2^{12}.3^{10}+2^9.3^9.3.5.2^3}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
\(=\frac{2^{12}.3^{10}.6}{2^{11}.3^{11}.5}\)
\(=\frac{2^{13}.3^{11}}{2^{11}.3^{11}.5}\)
\(=\frac{2^2}{5}\)
\(=\frac{4}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
`a, 4/9 + 2/5 + 5/9= (4/9 +5/9) + 2/5= 1 + 2/5= 5/5 + 2/5= 7/5`
`b, 6/13 + 5/8 + 7/13=(6/13 + 7/13) + 5/8=1+5/8= 8/8 + 5/8= 13/8`
`c, 5/11 + 6/25 + 66/121 = ( 5/11 + 66/121 ) + 6/25=1 + 6/25 = 25/25 + 6/25 = 31/25`
`d, 1/2 + 1/3 + 1/4 + 1/6 + 1/12 + 1/24= (1/2 + 1/4) +(1/3 + 1/6) + (1/12 + 1/24)= 3/4 + 1/2 + 1/8= 6/8 + 4/8 + 1/8= 11/8`
`@ yl`
![](https://rs.olm.vn/images/avt/0.png?1311)
Gọi tổng là X, ta có :
X = 1+2+3+4+5+6+7+8+9+10+11+12+1+1345+6+544+435+22+00+34+567+13+7+6+9+8+0+6+5+4+3+4+5+6+66+6+2+3+8888+666+1000+87+98 !
Đây là bài toán hay đấy !
![](https://rs.olm.vn/images/avt/0.png?1311)
100 - 99 + 98 - 97 + 96 - 95 + ... + 4 - 3 + 2
= ( 100 - 99 ) + (98 - 97) + ..... + ( 4- 3 ) + 2
= 1 + 1 + .......+ 1 + 2
Có số lượng số hạng là : 100 - 3 +1 = 98
Có số cặp là : 98 : 2 = 49
Vậy số cần tìm là (49 x 1)+ 2 = 51
con đầu bạn chép sai đề nha
( 132 x 6 - 66 x 12 ) x ( 132 x 6 + 66 )
= ( 66 x 2 x 6 - 66 x 12 ) x ( 132 x 6 + 66 )
= ( 66 x 12 - 66 x 12 ) x ( 132 x 6 + 66 )
= 0 x 132 x 6 + 6
= 0 + 6 = 6
![](https://rs.olm.vn/images/avt/0.png?1311)
= 2144546673
Sai dấu +
Đề bài sai