46.95+69.120/84.312-611
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b: \(\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)
\(=\frac{2^{12}\cdot3^{10}+2^9\cdot3^9\cdot2^3\cdot3\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}\)
\(=\frac{2^{12}\cdot3^{10}\left(1+5\right)}{2^{11}\cdot3^{11}\left(2\cdot3-1\right)}=\frac23\cdot\frac65=\frac{12}{15}=\frac45\)
c: \(\frac{7\cdot28^8+2^4\cdot14^{10}}{4^4\cdot14^9-70\cdot16^3\cdot49^4}\)
\(=\frac{7\cdot7^8\cdot2^{16}+2^4\cdot2^{10}\cdot7^{10}}{2^8\cdot2^9\cdot7^9-2\cdot5\cdot7\cdot2^{12}\cdot7^8}=\frac{7^9\cdot2^{14}\left(2^2+7\right)}{2^{13}\cdot7^8\left(2^4-5\cdot7\right)}=\frac{7\cdot2\cdot\left(4+7\right)}{16-35}=\frac{14\cdot11}{-19}=\frac{-154}{19}\)
1)69.24+69.120+144.31
= 69. (24+120) + 144.31
= 144.69 + 144.31
= 144. (69+31)
= 144.100
=14 400
2)95.103-95.2-95
= 95. (103-2-1)
= 95.100
= 9 500
4)47.62+31.106
= 47. 62+ (31.2). 53
= 47.62 + 62. 53
= 62. (47+53)
= 62.100
= 6 200
5) 54.12+27.77-27
= 27. (2.12) + 27.77 - 27.1
= 27. 24 + 27.77 - 27.1
= 27. (24+77-1)
= 27. 100
= 2 700
6) 49+215+51+83+85
= (49+51) + (215+85)+ 83
= 100 +300 + 83
= 483







46.95+69.120 / 84.312-611
=(22)6.(32)5+(2.3)9.23.3.5 / (23)4.312-(2.3)11
=212.310+29.39.23.3.5 / 212.312-211.311
=212.310+212.310.5 / 211.311.(2.3-1)
=212.310.(1+5) / 211.311.(6-1)
=212.310.6 / 211.311.5
=213.311 / 211.311.5
=22/5
=4/5
4/5 chắc chắn luôn