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a) 4.(13 - 16) - (3-5) .(-3)2
b) -2/5+ 7/11+ -11/10 + 7/-11
c) 1/2+2/3+1/6+-2/5
d) 34 .4-66/ 35.5+10.34
a) Ta có: \(4\cdot\left(13-16\right)-\left(3-5\right)\cdot\left(-3\right)^2\)
\(=4\cdot13-4\cdot16+2\cdot9\)
\(=52-64+18\)
=6
b) Ta có: \(-\dfrac{2}{5}+\dfrac{7}{11}+\dfrac{-11}{10}+\dfrac{7}{-11}\)
\(=-\left(\dfrac{2}{5}+\dfrac{11}{10}\right)+\left(\dfrac{7}{11}-\dfrac{7}{11}\right)\)
\(=-\left(\dfrac{4}{10}+\dfrac{11}{10}\right)\)
\(=\dfrac{-15}{10}=\dfrac{-3}{2}\)
a)\(\dfrac{-5}{6};\dfrac{-3}{4};\dfrac{7}{24};\dfrac{2}{3};\dfrac{7}{8};\dfrac{16}{17}\)
b)\(\dfrac{20}{23};\dfrac{205}{107};\dfrac{214}{315};\dfrac{7}{10};\dfrac{-5}{8};\dfrac{-16}{19}\)
1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
1) a) 4⁸.2²⁰ = (2²)⁸.2²⁰
= 2¹⁶.2²⁰ = 2³⁶
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9¹².27⁵.81³ = (3²)¹².(3³)⁵.(3⁴)⁴
= 3²⁴.3¹⁵.3¹⁶ = 3⁵⁵
--------
64³.4⁵.16² = (4³)³.4⁵.(4²)²
= 4⁹.4⁵.4⁴ = 4¹⁸
b) 25²⁰.125⁴ = (5²)²⁰.(5³)⁴
= 5⁴⁰.5¹² = 5⁵²
--------
x⁷.x³.x⁴ = x¹⁴
--------
3⁶.4⁶ = (3.4)⁶ = 12⁶
2) a) 2² = 4
2³ = 8
2⁴ = 16
2⁵ = 32
2⁶ = 64
2⁷ = 128
2⁸ = 256
2⁹ = 512
2¹⁰ = 1024
b) 3² = 9
3³ = 27
3⁴ = 81
3⁵ = 243
c) 4² = 16
4³ = 64
4⁴ = 256
d) 5² = 25
5³ = 125
5⁴ = 625
a) 7 . 52 - 6 . 42
= 7 . 25 - 6 . 16
= 175 - 96
= 79
b) 16 . 24 + 76 . 16 + (-1600)
= 16 . (24+76) + (-1600)
= 16 . 100 + (-1600)
= 1600 + (-1600)
= 0
#Hok_tốt
\(a,7\times5^2-6\times4^2=\)
\(=7\times25-6\times16\)
\(=175-96\)
\(=79\)
\(b,16\times24+76\times16+\left(-1600\right)=\)
\(=16\times\left(24+76\right)+\left(-1600\right)\)
\(=16\times100+\left(-1600\right)\)
\(=1600+\left(-1600\right)\)
\(=0\)