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5) 24*(15+49)+12*(50+42)
=24*64+12*92
=24*64+12*2*46
=24*64+24*46
=24*(64+46)
=24*110
=2640
10(81+19)+100+50(91+9)
=10.100+100+50.100
=1000+100+5000
=6100
=14.5.35+10.5.5.7+4.5.7
=70.35+50.35+4.35
=35.(70+50+4)
=35.124
=4340
a)
\(2.6^2.3.6^4\text{:}6^5\)
\(=6.6^6.6^5\)
\(=6^7:6^5\)
\(=6^2=36\)
b) \(8.2^5.16:2^{11}\)
\(=2^3.2^5.2^4:2^{11}\)
\(=2^8.2^5:2^{11}\)
\(=2^{12}:2^{11}\)
\(=2\)
c) \(\left(4^4.16\right):\left(4^3.4\right)\)
\(=\left(4^4.4^2\right):4^4\)
\(=4^6:4^4\)
\(=4^2=16\)
a) \(...=2.2^2.3^2.3.2^4.3^4:\left(2^5.3^5\right)=2^7.3^7:2^5.3^5=2^2.3^2=4.9=36\)
b) \(...=2^3.2^5.2^4:2^{11}=2^{12}:2^{11}=2\)
c) \(...=2^8.2^4:\left(2^6.2^2\right)=2^{12}:2^8=2^4=16\)
d) \(...=5.5^3.5^2:5^6=5^6:5^6=1\)
a: \(=\dfrac{7}{12}\cdot12=7\)
b: \(=\dfrac{3}{8}\cdot\dfrac{25}{7}\cdot56\cdot\left(-4\right)=-300\)
c: \(=\dfrac{3}{7}\cdot\dfrac{7}{3}\cdot\dfrac{2}{5}\cdot20\cdot\dfrac{19}{72}=8\cdot\dfrac{19}{72}=\dfrac{19}{9}\)
d: \(=\dfrac{1}{3}\left(\dfrac{4}{5}+\dfrac{6}{5}\right)=\dfrac{2}{3}\)
a: =(1-2-3+4)+(5-6-7+8)+...+(21-22-23+24)
=0+0+...+0
=0
b: =-7111+53+711-153=-6400-100=-6500
c: =-43(-1-296+296)=-43*(-1)=43