[(85-5):2 mũ 3 + 5 mũ 2]x2-40
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85+(-35)+(-12)+(-35)=50+(-12)+(-35)=38+(-35)=3
53.42+85.53-57:54=125.16+85.125-53=125.16+85.125-125
=125.16+85.125-125.1=(16+85-1).125=100.125=12500
\(2^3-5^3:5^2+12\cdot2^2=8-5+48=51\\ 5\left[\left(85-35:7\right):8+90\right]-5\cdot2^2\\ =5\left(80:8+90\right)-20=5\cdot100-20=480\)
\(x-4=26\\ \Leftrightarrow x=30\)
\(\left(40+x\right).2=180\\ \Leftrightarrow40+x=90\\ \Leftrightarrow x=50\)
\(\left(14+5x\right):2=3^5:3^2\\ \Leftrightarrow\left(14+5x\right):2=27\\ \Leftrightarrow14+5x=54\\ \Leftrightarrow5x=40\\ \Leftrightarrow x=8\)
b: \(5\cdot\left[\left(85-35:7\right):8+90\right]-5^2\cdot2\)
\(=5\cdot\left[\left(85-5\right):8+90\right]-25\cdot2\)
\(=5\cdot\left(10+90\right)-50\)
=450
\(2^2.85+40.2^2-2^3\)
\(=2^2.85+40.2^2-2^2.2\)
\(=2^2.\left(85+40-2\right)\)
\(=2^2.123\)
\(=492\)
\(2^{2}.85+40.2^{2}-2^{3}\)
\(=2^{2}.85+40.2^{2}-2^{2+1}\)
\(=2^{2}.85+40.2^{2}-2^{2}.2^{1}\)
\(=2^{2}.(85+40-2)\)
\(=4.123\)
\(=492\)
a. \(12^2.3^2.2^3=2^4.3^2.3^2.2^3=2^7.3^4\)
b. \(8^3.3^2.6^3=2^9.3^2.2^3.3^3=2^{12}.3^5\)
c. \(5^{32}.5^2=5^{34}\)
d. \(100^6.2^3=\left(2^2.5^2\right)^6.2^3=2^8.5^8.2^3=2^{11}.5^8\)
e. \(100^2:10^2:5^2=\left(10.5.2\right)^2:10^2:5^2=2^2\)
f. \(121^3-11^2=11^6-11^2=11^2\left(11^4-1\right)\)
[(85 - 5) : 2³ + 5²] . 2 - 40
= (80 : 8 + 25) . 2 - 40
= (10 + 25) . 2 - 40
= 35 . 2 - 40
= 70 - 40
= 30
[(85 - 5) : 2³ + 5²] . 2 - 40
= (80 : 8 + 25) . 2 - 40
= (10 + 25) . 2 - 40
= 35 . 2 - 40
= 70 - 40
= 30