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(57+ 75).(68+86).(24-42)
= (57+75).(68+86).(24-24)
= (57+75).(68+86).0
= 0

\(\left(5^7+7^5\right)\left(6^8+8^6\right)\left(2^4-4^2\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right)\left(16-16\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right).0=0\)
...
\(\left(5^7+7^5\right)\left(6^8+8^6\right)\left(2^4-4^2\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right)\left[2^4-\left(2^2\right)^2\right]\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right)\left(2^4-2^4\right)\)
\(=\left(5^7+7^5\right)\left(6^8+8^6\right).0\)
\(=0\)

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. \(\left(8^{12}.8^{10}\right).8^3=8^{12+10+3}=8^{25}\)



\(=\left(2^{^{2^5}}.2.5.5^6+2^8.5^{2^5}\right):\left(2^8.5^4+5^7.2^5\right)\)
=\(=\left(2^{11}.5^7+2^85^{10}\right):2^5.5^4\left(2^3+5^3\right)\)
\(=2^8.5^7\left(2^3+5^3\right):2^5.5^4\left(2^3+5^3\right)=2^8.5^7:2^5.5^4=2^3.5^3=10^3=1000\)
(58 + 85)(68 : 86)(24 - 42)
= (58 + 85)(68:86)(16 - 16)
= (58 + 85)(68:86).0
=0
(58 + 85).(68 : 86).(24 - 42)
= (58 + 85).(68:86).(16 - 16)
= (58 + 85).(68:86).0
=0