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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) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)
\(=1.2.3...8\left(9-1-8\right)\)
\(=1.2.3...8.0\)
\(=0\)
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) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)
\(=13-1+1+1-1-1+1\)
\(=13+0+0+0\)
\(=13\)
1. 504 - (8.32 + 54) : 32 + 6
= 504 - (8.9 + 54) : 9 + 6
= 504 - (72 + 54) : 9 + 6
= 504 - 126 : 9 + 6
= 504 - 14 + 6
= 490 + 6
= 496
2. 25.22 - (15-18) + (13-17+11)
= 25.4 - (-3) + 7
= 100 + 3 + 7
= 110
\(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)=\left(100+121+144\right):\left(169+196\right)=1\)
\(9!-8!-7!\cdot8^2=8!\left(9-1\right)-7!\cdot8^2=7!\cdot8^2-7!\cdot8^2=0\)
\(\frac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}=\frac{3^2\cdot2^{36}}{11\cdot2^{35}-2^{36}}=\frac{9\cdot2^{36}}{2^{35}\cdot\left(11-2\right)}=\frac{9\cdot2^{36}}{2^{35}\cdot9}=2\)
=16384.9.531441:13060694016
=147546.531441:13060694016
=78364164096:13060694016
=6
Chúc em học tốt nha !!
a ) 13 . 35 + 13 . 67 - 26
= 13 . ( 35 + 67 ) - 26
= 13 . 102 - 26
= 1326 - 26
= 1300
b) ( 25 .12 + 4 . 25 ) : 27
= [ 25 . ( 12 + 4 ) ] : 27
= 25 . 16 : 27
= 25 . 24 : 27
= 29 : 27
= 22 = 4
c) 23 . [ 50 - ( 17 - 54 : 33 )] + 16
= 8 . [ 50 - ( 17 - 54 : 27 )] + 16
= 8 . [ 50 - ( 17 - 2 )] + 16
= 8 . [ 50 - 15 ] + 16
= 8 . 35 + 16
= 280 + 16
= 296
K MK NHA
a, Ta có:
3200 = ( 32) 100 = 9100
2300 = (23)100 = 8100
Nhận xét: 9100 > 8100
=) 3200 > 2300
b,
Ta có:
1255 = (53)5 = 515
257 = (52)7 = 514
Nhận xét: 515 > 514
=) 1255 > 257
a,\(\left(77.54-54.75\right):54-3^5:3^3\)
\(=[54.\left(77-75\right)]:54-3^2\)
\(=[54.2]:54-9\)
\(=108:54-9=2-9=-7\)
b,\(|-12|+\left(-23\right)+\left(-15\right)+|-7|+9\)
\(=12+\left(-23\right)+\left(-15\right)+7+9\)
\(=-10\)
c,\(4^2+2^3.\left(168:2^2-6^2\right)\)
\(=16+8.\left(168:4-36\right)\)
\(=24.\left(42-36\right)=24.6=144\)
d,\(-35+17+\left(-45\right)+|-13|\)
\(=\left(-35+-45\right)+\left(17+13\right)\)
\(=-80+30=-50\)
HTDT
\(54^{13}:2^{13}:9^{13}:3^{12}\)
\(=27^{13}:9^{13}:3^{12}\)
\(=3^{13}:3^{12}\)
=3
`54^13 :2^13 : 9^13 : 3^12 = (2.3^3)^13 : 2^13 : (3^2)^13 :3^12`
`=3^39 .2^13 : 2^13 : 3^26 :3^12 = 3^39 :3^26 : 3^12 =3^13 : 3^12 =3`