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a) 20.16+20.35+20.49
=20.(16+35+49)
=20.100=2000
b) 5.(|-13|-500)+|-2017|
=5.(13-500)+2017
=5.(13-1)+2017
=5.12+2017
=60+2017=2077
c) (24.22-32.7)2017
=(16.4-9.7)2017
=(64-63)2017
=12017=1
d) 160:{180-[36-(22.16-22.12)]}
= 160:{180-[36-(4.16-4.12)]}
=160:{180-[36-4(16-12)]}
=
160:{180-[36-4.4]}
=
160:{180-[36-16
]}
=160:
{180-20
}
=160:160=1

a,\(12\left(x-1\right).3=4^3-2^3\)
\(\Rightarrow36\left(x-1\right)=64-8\)
\(\Rightarrow36\left(x-1\right)=56\)
\(\Rightarrow x-1=\frac{14}{9}\Rightarrow x=\frac{23}{9}\)
b,\(2^x=16\Rightarrow2^x=2^4\Rightarrow x=4\)
c,\(\left(3x-2^4\right).7^{13}=2.7^{14}\)
\(\Rightarrow3x-16=\frac{2.7^{14}}{7^{13}}\)
\(\Rightarrow3x-16=14\Rightarrow3x=30\Rightarrow x=10\)

\(a,60-3.\left(x-2\right)=51\)
\(3.\left(x-2\right)=60-51\)
\(3.\left(x-2\right)=9\)
c \(x-2=9:3\)
\(x-2=3\)
\(x=3+2\)
\(x=5\)
\(b,541+\left(218-x\right)=725\)
\(218-x=725-541\)
\(218-x=184\)
\(x=218-184\)
\(x=34\)
\(c,3.\left(5x-13\right)=3^4\)
\(3.\left(5x-13\right)=81\)
\(5x-13=81:3\)
\(5x-13=27\)
\(5x=27+13\)
\(5x=40\)
\(x=8\)
\(d,\left(2x-7\right)-\left(x+135\right)=0\)
\(2x-7-x-135=0\)
\(x-142=0\)
\(x=0+142\)
\(x=142\)

CÂU 1
\(5^{n+1}+5^n=750\)
\(=>5^n\cdot5+5^n=750\)
\(=>5^n\cdot\left(5+1\right)=750\)
\(=>5^n\cdot6=750\)
\(=>5^n=750:6\)
\(=>5^n=125\)
\(=>5^n=5^3\)
\(=>n=3\)
\(532-180:\left[\left(2^3.7-x\right)^2+13^2.3\right]:16=500\\ 532-180:\left[\left(8.7-x\right)^2+169.3\right]:16=500\\ 180:\left[\left(56-x\right)^2+507\right]:16=532-500\\ 180:\left[\left(56-x\right)^2+507\right]:16=32\\ \dfrac{45}{4}:\left[\left(56-x\right)^2+507\right]=32\\ \left(56-x\right)^2+507=\dfrac{45}{4}:32\\ \left(56-x\right)^2+507=\dfrac{45}{128}\\ \left(56-x\right)^2=\dfrac{45}{128}-507\\ \left(56-x\right)^2=-\dfrac{64851}{128}\) (Vô lí. Vì\(\left(56-x\right)^2\ge0\forall x\inℝ\))
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