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a) (-25) . 21. (-2)2. (-|-3|) . (-1)2n+1 (n thuộc N*)
=(-25).21.4.(-3).(-1)
=4.(-25).63
=63.(-100)=-6300
b, (-5)3 . 67. (-|-23|) . (-1)2n (n thuộc N*)
=(-5)3 . 67. (-23) . 1
=(5.2)3.67
=1000.67=67000
a) (-25) . 21. (-2)2 . (-I-3I). (-1)2n+1
= (-25).21. 4.(-3).1
= [(-25). 4]. 21. (-3). (-1)
= -100 . 63
= -6300
b) (đề bài mik ko đánh lại nữa nha)
= -125 . 67. (-8) .1
=(-125. (-8) .67 .1
=1000.67
=67000
nhớ cho mik 1 nhé
\(1+a^2+a^4+a^6+.....+a^{2n}\)
\(\Rightarrow a^2.S1=a^2+a^4+a^6+a^8+.....+a^{2\left(1+n\right)}\)
\(\Rightarrow a^2.S1-S1=\left(a^2+a^4+....+2^{2\left(1+n\right)}\right)-\left(1+a^2+a^4+....+2^{2n}\right)\)
\(\Rightarrow S1\left(a-1\right)\left(a+1\right)=a^{2\left(1+n\right)}-1\)
\(\Rightarrow S1=\frac{a^{2\left(1+n\right)}-1}{\left(a-1\right)\left(a+1\right)}\)
35 . 18 - 5 . 7 . 28
= 35.18-5.7.28
= 35 . 18 - 35 . 28
= 35 . ( 18 - 28 )
= 35 . ( - 10 )
= -350
D. 24.(16-5)-16.(24-5)
= 24 . 11 - 16 . 19
= 264 - 304
= -30
Câu 1:
a) Ta có: 2n+1 là số lẻ∀n
⇒\(\left(-1\right)^{2n+1}=-1\)
Ta có: \(\left(-25\right)\cdot21\cdot\left(-2\right)^2\cdot\left(-\left|-3\right|\right)\cdot\left(-1\right)^{2n+1}\)
\(=-25\cdot21\cdot4\cdot\left(-3\right)\cdot\left(-1\right)\)
\(=75\cdot84\cdot\left(-1\right)\)
\(=-6300\)
b) Ta có: \(\left(-5\right)^3\cdot67\cdot\left(-\left|-2^3\right|\right)\cdot\left(-1\right)^{2n}\)
\(=-125\cdot67\cdot\left(-8\right)\)
\(=1000\cdot67=67000\)
c) Ta có: \(35\cdot18-5\cdot7\cdot28\)
\(=35\cdot18-35\cdot28\)
\(=35\cdot\left(18-28\right)=35\cdot\left(-10\right)=-350\)
d) Ta có: \(24\cdot\left(16-5\right)-16\cdot\left(24-5\right)\)
\(=24\cdot16-24\cdot5-24\cdot16+16\cdot5\)
\(=-24\cdot5+16\cdot5\)
\(=5\cdot\left(-24+16\right)=5\cdot\left(-8\right)=-40\)
e) Ta có: \(29\cdot\left(19-13\right)-19\cdot\left(19-13\right)\)
\(=6\cdot\left(29-19\right)=6\cdot10=60\)
g)Sửa đề: \(31\cdot\left(-18\right)+31\cdot\left(-81\right)-31\)
Ta có: \(31\cdot\left(-18\right)+31\cdot\left(-81\right)-31\)
\(=31\cdot\left(-18-81-1\right)\)
\(=31\cdot\left(-100\right)=-3100\)
h) Ta có: \(\left(-12\right)\cdot47+\left(-12\right)\cdot52+\left(-12\right)\)
\(=-12\cdot\left(47+52+1\right)\)
\(=-12\cdot100=-1200\)
k) Ta có: \(13\cdot\left(23+22\right)-3\cdot\left(17+28\right)\)
\(=13\cdot45-3\cdot45\)
\(=45\cdot\left(13-3\right)=45\cdot10=450\)
m) Ta có: \(-48+48\cdot\left(-78\right)+48\cdot\left(-21\right)\)
\(=48\cdot\left(-1-78-21\right)\)
\(=48\cdot\left(-100\right)=-4800\)
n) Ta có: \(135\cdot\left(171-123\right)-171\cdot\left(135-123\right)\)
\(=135\cdot171-135\cdot123-171\cdot135+171\cdot123\)
\(=123\cdot\left(-135+171\right)=123\cdot36=4428\)
61000
-1400000
2600
Cách làm là...........bấm máy tính hjhj
(−25).21.(−2)2.(−|−3|).(−1)2n+1(−25).21.(−2)2.(−|−3|).(−1)2n+1
Vì n∈ N* nên 2n+1 lẽ
⇒ (−25).21.4.(−3).(−1)(−25).21.4.(−3).(−1)
= (−25.4).21.3(−25.4).21.3
= −100.63−100.63
= −6300
(-5)³.67.(-|-2³|).(-1)^2n (n thuộc N*)
=-125.67(-8).1 (vì 2n chẵn)
=(-125.(-8).67
=1000.67
=67000