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A = 1 + 3 + 32 + 33 + 34 + 35 + ........ + 313 + 314 + 315
A = (1 + 3 + 32 + 33) + (34 + 35 + 36 + 37) + ..... + (312 + 313 + 314 + 315)
A = (1 + 3 + 9 + 27) + 34.(1 + 3 + 9 + 27) + ........ + 312.(1 + 3 + 9 + 27)
A = 40.1 + 34.40 + ...... + 312.40
A = 40.(1 + 34 + .....+ 312)
A = 5.8.(1 + 34 + .....+ 312)
=> A chia hết cho 5
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Bài 1:
ta có 1314<1315
1313<1314
=> dấu cân điền là"<"(1314 -1313 <1315-1314)
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a) (34 . 53 + 33 . 54) : 33 . 53
=[(33.53).(3+1+1+5)]
: 33 . 53
=[(33.53).10]:
33 . 53
=10
b) 1282 . 97 : 366
=(27)2.(32)7:(62)6
=214.314:612
=614:612
=62
c) 1515 : 314 : 513
=315.515:314:513
=315:314.515:513
=3.25
=75
a) \(\left(3^4.5^3+3^3.5^4\right):3^3.5^3\)
\(=3^3.5^3\left(3+5\right):3^3.5^3\)
\(=8\)(mình làm hơi tắt)
mình lm zậy thui nha mình bận lát nữa lm típ
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A=311+312+313+314+315+316
=> A = (311+312+313) + (314+315+316)
=> A = 311(30+31+32) + 314(30+31+32)
=> A = (30+31+32)(311+314)
=> A = 13(311+314) chia hết cho 13
A = 3^11 + 3^12 + 3^13 +...+ 3^16
= 3 ( 3^10 + .... + 3^15) chia hết cho 3
k nha
chúc bạn học tốt
hihih ( ^_ ^)
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(313 + 314) : 4
= 313.(1+3) : 4
= 313.4:4
= 313
(214 + 215 + 216) : 7
= 214.(1+2+22) : 7
= 214.7:7
= 214
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\(\left(3^{13}.99-15.3^{14}\right):3^{15}\)
\(\left(3^{13}.3^2.11-5.3.3^{14}\right):3^{15}\)
\(\left(3^{15}.11-5.3^{15}\right):3^{15}\)
\(\left[3^{15}.\left(11-5\right)\right]:3^{15}\)
\(\left[3^{15}.6\right]:3^{15}\)
\(\Rightarrow2.3^{16}:3^{15}\)
\(\Rightarrow2.(3^{16}:3^{15})\)
\(\Rightarrow2.3=6\)
P/s : -Sai #moeno ùi >< Nhg mak kệ ik ...
-Đừng diss tớ nx >< Tớ sợ lém ...
\(\left(13.3^3+14.3^3-15.3^3\right):3^4\)
\(=[3^3\left(13+14-15\right)]:3^4\)
\(=\left(3^3.12\right):3^4\)
\(=\left(27.12\right):81\)
\(=324:81=4\)
\(\left(13\cdot3^3+14\cdot3^3-15\cdot3^3\right):3^4\)
\(=3^3\left(13+14-15\right):3^4\)
\(=3^3\cdot12:3^4\)
\(=3^4\cdot4:3^4\)
\(=4\)