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13 tháng 2 2018

\(b)\)\(9!-8!-7!.8^2\)

\(=\)\(8!\left(9-1\right)-7!.8^2\)

\(=\)\(7!.8.8-7!.8^2\)

\(=\)\(7!.8^2-7!.8^2\)

\(=\)\(0\)

13 tháng 2 2018

\(c)\)\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\)\(\frac{\left(2^2\right)^2.\left(2^{16}\right)^2.3^2}{2^{13}.\left(2^2\right)^{11}.11-\left(2^4\right)^9}\)

\(=\)\(\frac{2^4.2^{32}.3^2}{2^{13}.2^{22}.11-2^{36}}\)

\(=\)\(\frac{2^{36}.3^2}{2^{35}.11-2^{36}}\)

\(=\)\(\frac{2^{36}.3^2}{2^{35}\left(11-2\right)}\)

\(=\)\(\frac{2.3^2}{9}\)

\(=\)\(\frac{2.3^2}{3^2}\)

\(=\)\(2\)

24 tháng 9 2018

\(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)=\left(100+121+144\right):\left(169+196\right)=1\)
\(9!-8!-7!\cdot8^2=8!\left(9-1\right)-7!\cdot8^2=7!\cdot8^2-7!\cdot8^2=0\)
\(\frac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}=\frac{3^2\cdot2^{36}}{11\cdot2^{35}-2^{36}}=\frac{9\cdot2^{36}}{2^{35}\cdot\left(11-2\right)}=\frac{9\cdot2^{36}}{2^{35}\cdot9}=2\)

15 tháng 4 2019

a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)

\(=\left(100+121+144\right)\div\left(169+196\right)\)

\(=365\div365\)

\(=1\)

b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)

\(=1.2.3...8\left(9-1-8\right)\)

\(=1.2.3...8.0\)

\(=0\)

15 tháng 4 2019

d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)

\(=1152-374-1152-65+374\)

\(=\left(1152-1152\right)-65+\left(374-374\right)\)

\(=0-65+0\)

\(=-65\)

e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)

\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)

\(=13-1+1+1-1-1+1\)

\(=13+0+0+0\)

\(=13\)

28 tháng 9 2016

a, \(A=2015.20162016-2016.20152015\)

\(A=2015.\left(2016.10001\right)-2016.20152015\)

\(A=\left(2015.10001\right).2016-20152015.2016\)

\(A=20152015.2016-20152015.2016\)

\(A=0\)

Vậy A = 0

b, \(B=\left(3.4.2^{16}\right)^2\div11.2^{13}.4^{11}-16^9\)

\(B=3^2.2^4.2^{32}\div11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9\)

\(B=3^2.2^4.2^{32}\div11.2^{13}.2^{22}-2^{36}\)

\(B=3^2.2^{36}\div11.2^{35}-2^{36}\)

\(B=3^2.2^{35}.2\div11.2^{35}-2.2^{35}\)

\(B=3^2.2\div9=9.2\div9=2\)

Vậy B = 2

c, \(C=2^{10}.13+2^{10}.65\div2^8.104\)

\(C=2^{10}.\left(13+65\right)\div2^8.104\)

\(C=2^{10}.78\div2^8.104\)

\(C=2^{10}.39\div2^8.13\)

\(C=39\div13=3\)

Vậy C = 3

Đề bài câu c sai mk sửa nhé là 28 ms tính đc k nó dư lắm !!!

28 tháng 9 2016

2015.20162016-2016.20152015

=2015.2016.1001-2016.2015.1001

=0