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a, A = 2 10 - 2 5 = 1024 - 32 = 992
b, B = 4 3 - 4 2 - 4 = 64 - 16 - 4 = 44
c, C = 3 2 . 2 3 + 4 3 . 2 5 = 9.8 + 64.32 = 2120
d, D = 1 3 + 2 3 + 3 3 + 4 3 + 5 3 = 1 + 8 + 27 + 64 + 125 = 225
a) A = 2 10 - 2 5 = 1024 - 32 = 992 .
b) B = 4 3 - 4 2 - 4 = 64 - 16 - 4 = 44 .
c) C = 3 2 . 2 3 + 4 3 . 2 5 = 9 . 8 + 64 . 32 = 2120 .
d) D = 1 3 + 2 3 + 3 3 + 4 3 + 5 3 = 1 + 8 + 27 + 64 + 125 = 225
a ) A = 2 10 - 2 5 = 1024 - 32 = 992 . b ) B = 4 3 - 4 2 - 4 = 64 - 16 - 4 = 44 . c ) C = 3 2 . 2 3 + 4 3 . 2 5 = 9 . 8 + 64 . 32 = 2120 . d ) D = 1 3 + 2 3 + 3 3 + 4 3 + 5 3 = 1 + 8 + 27 + 64 + 125 = 225 .
(3x - 9).12 = 32 . 23
<=> 36x - 108 = 9 . 8
<=> 36x = 180
<=> x = 5
\(\left(3x-9\right).12=3^2.2^3\)
\(\Rightarrow\left(3x-9\right).12=72\)
\(\Rightarrow3x-9=72:12=6\)
\(\Rightarrow3x=6+9=15\Rightarrow x=5\)
\(-\dfrac{18}{42}\cdot\dfrac{35}{42}:\dfrac{-98}{42}\)
\(=-\dfrac{18}{42}\cdot\dfrac{35}{42}\cdot\dfrac{42}{-98}\)
\(=\dfrac{-18}{42}\cdot\dfrac{-5}{14}\\ =\dfrac{15}{98}\)
\(\dfrac{-18}{42}.\dfrac{3\text{5}}{42}:\dfrac{-98}{42}\)
\(=\dfrac{-18}{42}.\dfrac{3\text{5}}{42}.\dfrac{-42}{98}\)
\(=\dfrac{1\text{5}}{98}\)
Bài 2:
a: =>x-35=-23
=>x=12
b: =>|x-8|=13
=>x-8=13 hoặc x-8=-13
=>x=21 hoặc x=-5
Bài 1:
a: =42-98-42+12-12=-98
b: =10x4x3x(-25)=40x(-25)x3=-1000x3=-3000
Giải:
\(A=\left[\left(-8\right)+\left(-7\right)\right]+\left(-10\right)=\left(-15\right)+\left(-10\right)=\left(-25\right)\)
\(B=-\left(-299\right)+\left(-219\right)+\left(-401\right)+12=299-219-401+12=-309\)
\(C=555+\left(-100\right)+\left(-80\right)+\left|-333\right|=555-100-80+333=708\)
\(D=\left|-347\right|+\left(-40\right)+3150+\left(-307\right)=347-40+3150-307=2456\)
\(E=98.42-\left\{50.\left[\left(18-2^3\right):2+3^2\right]\right\}\)
\(E=4116-\left\{50.\left[\left(18-8\right):2+9\right]\right\}\)
\(E=4116-\left\{50.\left[10:2+9\right]\right\}\)
\(E=4116-\left\{50.\left[5+9\right]\right\}\)
\(E=4116-\left\{50.14\right\}\)
\(E=4116-700\)
\(E=3416\)
\(F=-80-\left[-130-\left(12-4^2\right)\right]+2008^0\)
\(F=-80-\left[-130-\left(12-16\right)\right]+1\)
\(F=-80-\left[-130-\left(-4\right)\right]+1\)
\(F=-80-\left(-126\right)+1\)
\(F=47\)
\(G=1000+\left(-670\right)+297+\left(-330\right)=1000-670+297-330=297\)
\(H=1024:2^4+140:\left(38+2^5\right)-7^{23}:7^{21}\)
\(H=2^{10}:2^4+140:\left(38+32\right)-7^2\)
\(H=2^6+140:70-49\)
\(H=64+2-49\)
\(H=17\)
\(I=\left|-129\right|-119+\left|2-31\right|=129-119+\left|-29\right|=10+29=39\)
\(K=219+573+381-173\)
\(K=\left(219+381\right)+\left(573-173\right)\)
\(K=600+400\)
\(K=1000\)
\(L=36.33-105.11+22.15\)
\(L=36.33-35.3.11+11.2.3.5\)
\(L=36.33-35.33+33.10\)
\(L=33.\left(36-35+10\right)\)
\(L=33.11\)
\(L=363\)
\(N=160-\left(2^3.5^2-6.25\right)\)
\(N=160-\left[25.\left(8-6\right)\right]\)
\(N=160-\left[25.2\right]\)
\(N=160-50\)
\(N=110\)
\(O=\left(44.52.60\right):\left(11.13.15\right)=137280:2145=64\)
\(P=\left(2^{17}+15^4\right).\left(3^9-2^{17}\right).\left(2^4-4^2\right)=\left(2^{17}+15^4\right).\left(3^9-2^{17}\right).0=0\)
\(Q=100+98+96+...+4+2-97-95-...-3-1\)
\(Q=100+\left(98-97\right)+\left(96-95\right)+...+\left(4-3\right)+\left(2-1\right)\)
\(Q=100+1+1+...+1+1\)
Vì có 98:2=49 số 1
\(\Rightarrow Q=100+49\)
\(Q=149\)
Phần a bạn tự giải nhé, so ez mà.
b,
\(\left|6-x\right|\cdot\left(-8\right)=-16\\ \Leftrightarrow\left|6-x\right|=2\\ \Leftrightarrow\left[{}\begin{matrix}6-x=2\left(x\le6\right)\\6-x=-2\left(x>6\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\left(t/m\right)\\x=8\left(t/m\right)\end{matrix}\right.\)
c, Bạn tự giải, so ez again.
d, Với x>14, hai BT trong dấu GTTĐ luôn dương. Do đó, ta có:
\(\left|2x\right|+\left|x-14\right|=61\\ \Leftrightarrow2x+x-14=61\\ \Leftrightarrow3x=75\\ \Leftrightarrow x=25\left(t/m\right)\)
Chúc bạn học tốt nha
a: =>3x+98=-2-x
=>4x=-100
=>x=-25
c: =>2-3+6x+8x-40=-42
=>14x-41=-42
=>14x=-1
=>x=-1/14
=42+8(98-9.8)
=42+8.26
=42+208=250
250