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\(A=2^0+2^1+2^2+.....+2^{1990}\)
\(2A=2\left(2^0+2^1+2^2+.....+2^{1990}\right)\)
\(2A=2^1+2^2+2^3+.....+2^{1991}\)
\(2A-A=\left(2^1+2^2+2^3+.....+2^{1991}\right)-\left(2^0+2^1+2^2+.....+2^{1990}\right)\)
\(A=2^{1991}-2^0=2^{1991}-1\)
\(B=a^0+a^1+a^2+a^3+.....+a^n\)
\(B.a=a^1+a^2+a^3+a^4+.....+a^{n+1}\)
\(B.a-B=\left(a^1+a^2+a^3+a^4+......+a^{n+1}\right)-\left(a^0+a^1+a^2+a^3+.....+a^n\right)\)
\(B.a=a^{n+1}-1\Leftrightarrow B=\dfrac{a^{n+1}-1}{a}\)
\(C=1+3+3^2+.....+3^{50}\)
\(3C=3\left(1+3+3^2+.....+3^{50}\right)\)
\(3C=3+3^2+3^3+.....+3^{51}\)
\(3C-C=\left(3+3^2+3^3+.....+3^{51}\right)-\left(1+3+3^2+.....+3^{50}\right)\)
\(2C=3^{51}-1\Rightarrow C=\dfrac{3^{51}-1}{2}\)
cho biểu thức đó là B
\(B=\left(2^0+2^1+2^2+2^3\right).2^0.2^1.2^2.2^3\)
\(B=\left(1+2+4+8\right).1.2.4.8\)
\(B=[\left(8+2\right)+\left(4+1\right)].1.2.4.8\)
\(B=\left(10+5\right).1.2.4.8\)
\(B=15.1.2.4.8\)
\(B=\left(15.2\right).\left(4.8\right)\)
\(B=960\)
nhiều thế!!!
a/82.8.18=83.1=512
b/2.22.23.12.120=26.1.1=64
c/82.13=64.1=64
d/72.13=49.1=49
e/52.(19990)2016=52.12016=25.1=25
f/42.12016=16.1=16
g/92.20160=81.1=81
h/102.20160=100.1=100
A = 20 + 21 + 22 + 23 + 20 + 21 + 22 + 23 = 2.(20 + 21 + 22 + 23) = 2.(1 + 2 + 4 + 8) = 2.15 = 30
A = ( 20 + 21 + 22 + 23 ) x 2
A = ( 0+ 2 + 4 + 8 ) x 2
A = 14 x 2
A = 28
Vậy A = 28
a) 21.72 - 11.72+90.72 + 49.125.16
= 21.72 - 11.72 + 90 .72 + 72.125.8.2
= 21.72-11.72+90.72+72.1000.2
=21.72-11.72+90.72+72.2000
= 72.( 21-11 + 90 + 2000)
= 72. 2100
= 49.2100
= 102 900
b) Đặt A = ( 20+21+22+23). 20.21.22.23
A = (20+21+22+23).26
A = 26+27+28+29
=> 2A = 27+28+29+210
2A-A = 210-26
A = 210-26
A = 960
a) 62 : 22 . 3 + 2 . 52
= 36 : 4 . 3 + 2 . 25
= 9 . 3 + 2 . 25
= 27 + 50 = 77
b) 2 . 52 - 25 : 5 . 2060
= 2 . 25 - 25 : 5 . 1
= 50 - 5 = 45
c) 32 . 25 + 32 . 75
= 32 . ( 25 + 75 )
= 9 . 100 = 900
d) 20050 . (32 - 13 ) + 32
= 1 . (9 - 1) + 9
= 1 . 8 + 9
= 8 + 9 = 17
a, \(6^2:2^2\times3+2\times5^2\)
\(=36:4\times3+2\times25\)
\(=27+50=77\)
b. \(2\times5^2-25:5\times206^0\)
\(=50-5=45\)
c,\(3^2\times25+3^2\times75\)
\(=3^2\left(25+75\right)\)
\(=9\times100=900\)