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1. A - B = 40+ 3/8 + 7/82 + 5/83 + 32/85 - (24/82 + 40+ 5/82 + 40/84 + 5/84 )
= 40.85/85 + 3.84/85 + 7.83/85 + 5.82/85 + 32/85 - 24.83/85 - 40.85/85 - 5.83/85 - 40.8/85 - 5.8/85
= 40.85/85 + 24.83/85 + 7.83/85 + 5.82/85 + 32/85 - 24.83/85 - 40.85/85 - 5.83/85 - 40.8/85 - 5.8/85
= 7.83/85 + 5.82/85 + 32/85 - 5.83/85 - 40.8/85 - 5.8/85
= 7.83/85 + 5.82/85 -8/85 - 5.83/85 - 40.8/85
= 2.83/85 + 5.82/85 - 40.8/85 - 8/85
= 2.83/85 + 40.8/85 - 40.8/85 - 8/85
= 2.83/85 - 8/85 > 0
Vay A > B
a) = 53+4+1 = 58
b) = 65-4 = 6
c) = 32+3+4-7 = 32
d) = x4+2+1 = x7
e) = 812+10+3 = 825
1. \(5^3.5^4.5=5^{3+4+1}=5^8\)
2. \(6^5:\left(6^3.6\right)=6^5:\left(6^{3+1}\right)=6^5:6^4=6^{5-4}=6^1\)
3. \(\left(3^2.3^3.3^4\right):3^7=\left(3^{2+3+4}\right):3^7=3^9:3^7=3^{9-7}=3^2\)
4. \(x^4.x^2.x=x^{4+2+1}=x^7\)
5. \(\left(8^{12}.8^{10}\right).8^3=8^{12+10+3}=8^{25}\)
7: =6-7+4-3=0
8: =8x5-9x4+4x6=40-36+24=28
3: =231+26-209-26=22
\(9^{12}.27^5.81^4=\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4\)
\(=3^{24}.3^{15}.3^{16}\)
\(=3^{55}\)
\(64^3.4^5.16^2=\left(4^3\right)^3.4^5.\left(4^2\right)^2=4^{18}\)
\(25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{52}\)
\(x^7.x^4.x^3=x^{14}\)
\(3^6.4^6=\left(3.4\right)^6=12^6\)
\(8^4.2^3.16^2=\left(2^3\right)^4.2^3.\left(2^4\right)^2=2^{23}\)
\(2^3.2^2.\left(2^3\right)^3=2^{14}\)
a,75 + 74 - 73
= 73.(72 + 7 - 1 )
= 73.(49 + 7 - 1)
= 73. 55
= 73 . 5 . 11 luôn chia hết cho 11
b,815 + 814 +813
= 813. (82 + 8 + 1)
= 813 . 73 luôn chia hết cho 73