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Bài 1
A= 3.4 + 4.5+ 5.6+ .......+ 58.59 + 69.60
3A = 3.4.3 + 4.5.3+ 5.6.3+ .......+ 58.59.3 +59.60.3
= 3.4.(5-2) + 4.5.(6-3)+ 5.6.(7-4)+ .......+ 58.59.(60-57) +59.60.(61-58)
= 3.4.5-2.3.4+4.5.6-3.4.5+5.6.7-4.5.6+..........+ 58.59.60-57.58.59+ 59.60.61-58.59.60
=2.3.4+ 59.60.61= 215964
A= 215964: 3= 71988
Bài 2:
A = 2.4 +4.6+ 6.8+.........+ 96.98+98.100
6A= 2.4.6+4.6.6+6.8.6+.........+96.98.6+98.100.6
= 2.4.6+ 4.6.(8-2) +6.8.(10-4)+.........+96.98.( 100-94) + 98 .100.( 102 - 96)
= 2.4.6+4.6.8-2.4.6 + 6.8.10 -4.6.8+..........+ 96.98.100-94.96.98+ 98.100.102-96.98.100
= 98 .100 .102= 999600
A= 999600:6= 166600

Bài 1:
59+296 = 55+4+296 = 55+300 = 355
Bài 2:
105+497 = 102+3+497 = 102+500 = 602

1) C1: 8^5 : 8^4 = 32768 : 4096 = 8
C2: 8^5 : 8^4 = 8^ 5-4 = 8^1 = 8
2) C1: 7^4 : 7^4 = 2401 : 2401 = 1
C2: 7^4 : 7^4 = 7^4-4 = 7^0 = 1
cho mk nha.

22344*36+44688*82
=22344*36+22344*2*82
=22344*36+22344*164
=22344*(36+164)
=22344*200
=4468800

C1:
a) 2^10: 2^8=1024: 256= 4
b) 4^6 : 4^3 = 4096: 64 = 64
c) 8^5 : 8^4 = 32768 : 4096 = 8
d) 7^4 : 7^4 = 2401: 2401= 1
C2
a) 2^10 : 2^8 = 2^2 = 4
b) 4^6 : 4^3 = 4^3 = 64
c) 8^5 : 8^4 = 8
d) 7^4 : 7^4 = 1
\(\dfrac{80}{1\cdot6}+\dfrac{80}{6\cdot11}+...+\dfrac{80}{251\cdot256}\)
\(=16\left(\dfrac{5}{1\cdot6}+\dfrac{5}{6\cdot11}+...+\dfrac{5}{251\cdot256}\right)\)
\(=16\left(1-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+...+\dfrac{1}{251}-\dfrac{1}{256}\right)\)
\(=16\left(1-\dfrac{1}{256}\right)=16\cdot\dfrac{255}{256}=\dfrac{255}{16}\)