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(57+ 75).(68+86).(24-42)
=(57+ 75).(68+86).(24-24)
=(57+ 75).(68+86).0
= 0
chúc e hc tốt
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
(57+ 75).(68+86).(24-42)
= (57+75).(68+86).(24-24)
= (57+75).(68+86).0
= 0
\(\left(5^7+7^5\right)\left(6^8+8^6\right)\left(2^4-4^2\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right)\left(16-16\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right).0=0\)
...
\(\left(5^7+7^5\right)\left(6^8+8^6\right)\left(2^4-4^2\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right)\left[2^4-\left(2^2\right)^2\right]\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right)\left(2^4-2^4\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right).0\)
\(=0\)
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. \(\left(8^{12}.8^{10}\right).8^3=8^{12+10+3}=8^{25}\)
A)210:28
C1: 210:28=1024:256
=4
C2: 210:28=210-8=22=4
B)46:43
C1: 46:43=4096:64=64
C2: 46:43=46-3=43=64
C)85:84
C1: 85:84=32768:4096=8
C2 85:84=85-4=81=8
D)74:74
C1: 74:74=2401:2401=1
C2 74:74=74-4=70=1
a) \(C1:2^{10}\div2^8=2^{10-8}=2^2=4\)
\(C2:2^{10}\div2^8=1024\div256=4\)
b) \(C1:4^6\div4^3=4^{6-3}=4^3=64\)
\(C2:4^6\div4^3=4096\div64=64\)
c) \(C1:8^5\div8^4=8^{5-4}=8^1=8\)
\(C2:8^5\div8^4=\left(2^3\right)^5\div\left(2^3\right)^4=2^{15}\div2^{12}=2^{15-12}=2^3=8\)
d) \(C1:7^4\div7^4=1\)
\(C2:7^4\div7^4=2401\div2401=1\)
\(\left(5^7+5^9\right)\left(6^8+6^{10}\right)\left(2^4-4^2\right)=\left(5^7+5^9\right)\left(6^8+6^{10}\right)\left(16-16\right)=0\)
\(\left(7^3+7^5\right)\left(5^4+5^6\right)\left(3^3.3-9^2\right)=\left(7^3+7^5\right)\left(5^4+5^6\right)\left[3^4-\left(3^2\right)^2\right]\)
\(=\left(7^3+7^5\right)\left(5^4+5^6\right)\left(3^4-3^4\right)=0\)
176.92
176.92