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\(a,2^2=4,2^3=8,2^4=16,2^5=32,2^6=64,2^7=128,2^8=256,2^9=512,2^{10}=1024\)
\(b,3^2=9,3^3=27,3^4=81,3^5=243\)
\(c,4^2=16,4^3=64,4^4=256\)
\(d,5^2=25,5^3=125,5^4=625\)
A, 2 x 26 x 5 =( 5 x 2) x 26
10 x 26
=260
b,4 x 37 x 25 =( 4 x 25) x 26
= 100 x 26
= 3700
c, 25 x 5 x 4 x 27 x 2 =( 25 x 4 ) x ( 2x 5) x 27
= 100 x 10 x 27
= 1000x 27
=27000
d,28 x 64 + 28 x 36 = 28 x ( 64 + 36 )
= 28 x 100
=2800
e, 769 x 85 - 769 x 75 = 769 x ( 85 - 75 )
=769 x 10
=7690
f, 56 x 37 + 56 x 63 = 56 x ( 37 + 63 )
= 56 x 100
=5600
a. = 26 x (2 x 5)
= 26 x 10 =260
b.=( 25x4) x37
=100 x37=3700
c.=(25x4) x(5x2) x27
=100 x10 x27
= 27000
d.=28 x( 64+36)
=28 x100
= 2800
e.=769 x( 85-75)
=769 x10 =7690
f. =56 x(37 +63)
=56 x100
= 5600
\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+...+1-\frac{1}{90}\)
\(=9-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
\(=9-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=9-\frac{9}{10}=\frac{81}{10}\)
a) \(A=\left\{a\in N/a⋮2;a< 20\right\}\)
b) \(B=\left\{b\in N/b⋮5;b< 30\right\}\)
c) C = { c thuộc N* / c chia 4 dư 1; c < 38}
d) D = { d thuộc N*/ c chia 3 dư 2, d < 36}
a) \(-75+\left(-325\right)+\left|-45\right|-\left(-125\right)\)
\(=-75-325+45+125\)
\(=\left(45+125\right)-\left(75+325\right)\)
\(=170-400\)
\(=-230\)
b) \(62+\left|128\right|-\left|-155\right|-\left|70\right|\)
\(=62+128-155-70\)
\(\Leftrightarrow190-225\)
\(=-35\)
c) \(815+\left[95+\left(-815\right)+\left(-45\right)\right]\)
\(=815+95-815-45\)
\(=\left(815-815\right)+\left(95-45\right)\)
\(=0+50\)
\(=50\)
d) \(5+\left(-7\right)+9+\left(-11\right)+...+25+\left(-27\right)\)
\(=\left(5-7\right)+\left(9-11\right)+...+\left(25-27\right)\)
\(=-2-2-...-2\)
\(=-2.11\)
\(=-22\)
e) \(34+35+36+37-24-25-26-27\)
\(=\left(34-24\right)+\left(35-25\right)+\left(36-26\right)+\left(37-27\right)\)
\(=10+10+10+10\)
\(=40\)
a: =50-52=-2
b: =-35+149-114
=-149+149
=0
c: =-29x100=-2900