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A = ( 2+22+23) + (24+25+26) + (27+28+29)+ (210+211+212)
A = 2.(1+2+22) +24.(1+2+22) +27.(1+2+22)+ 210.(1+2+22)
A = 2.7+24.7 +27.7+ 210.7
A = 7.( 2+24+27+210)
Suy ra A chia hết cho 7
A=2+22+23+24+25+26+27+28+29+210+211+212
=2(1+2+22)+24(1+2+22)+27(1+2+22)+210(1+2+22)
=2.7+2.7+2.7+2.7
Vậy A chia hết cho 7
a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)
\(=\left(100+121+144\right)\div\left(169+196\right)\)
\(=365\div365\)
\(=1\)
b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)
\(=1.2.3...8\left(9-1-8\right)\)
\(=1.2.3...8.0\)
\(=0\)
d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(=1152-374-1152-65+374\)
\(=\left(1152-1152\right)-65+\left(374-374\right)\)
\(=0-65+0\)
\(=-65\)
e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)
\(=13-1+1+1-1-1+1\)
\(=13+0+0+0\)
\(=13\)
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, 1024 : (17.25 + 15.25) = 210 : [25.(17+15)] = 210 : (25. 25) = 210 : 210 =1
b, (5.35 + 17.34) : 62 = 34.(5.3 + 17) : (2.3)2 = 34.25 : (22.32) = 32.23=72
c, (23.94 + 93.45) : (92.10 - 92) = 94.(23 + 5) : [92.(10-1)] = 94.13 : 93 = 9.13 =117
Đúng thì nha
\(\dfrac{2^{11}+2^{10}+2^9+...+2^3+2^2+2+1}{2^8+2^4+1}\)
\(=\dfrac{\left(2^8+2^4+1\right)+\left(2^9+2^5+2\right)+\left(2^{10}+2^6+2^2\right)+\left(2^{11}+2^7+2^3\right)}{2^8+2^4+1}\)
\(=\dfrac{\left(2^8+2^4+1\right)+2\left(2^8+2^4+1\right)+2^2\left(2^8+2^4+1\right)+2^3\left(2^8+2^4+1\right)}{2^8+2^4+1}\)
\(=\dfrac{\left(1+2+2^2+2^3\right)\left(2^8+2^4+1\right)}{\left(2^8+2^4+1\right)}=1+2+2^2+2^3\)
\(=1+2+4+8=15\)
a) (512.256.16):512
=512.256.16:512
=(512:512).256.16
=1.256.16
=4096
con c) ra đáp án to lắm, bạn xem lại đề bài đi
a) \(\left(8^3.16^2.4^2\right):2^9=\left(2^9.2^8.2^4\right):2^9=2^{9+8+4}:2^9=2^{21}:2^9=2^{21-9}=2^{12}\)
b) \(\left(2^6\right)^{11}:\left(2^{10}\right).2^3=2^{66}:2^{10}.2^3=2^{66-10+3}=2^{59}\)