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\(\frac{2^{15}.9^4}{6^3.8^3}\)
\(=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^3.\left(2^3\right)^3}\)
\(=\frac{2^{15}.3^8}{\left(2^3.2^9\right).3^3}\)
\(=\frac{2^{15}.3^8}{2^{12}.3^3}\)
\(=2^3.3^5=8.243=1944\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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Bài 1:
a) \(\frac{8^2.4^5}{2^{20}}=\frac{\left(2^3\right)^2.\left(2^2\right)^5}{2^{20}}=\frac{2^{16}}{2^{20}}=\frac{1}{2^4}=\frac{1}{16}\)
...
đăng nhìu bài z con định giết ta đó ak :(
bài 1
b,81^1*3^17/27^10*9^15 c.(0,25)^3*8 d,cô giáo chữa rồi
=(3^4)^11*3^17/(3^3)^10*(3^2)15 =(0,25)^3*2^3
=3^44*3^17/3^30*3^30 =(0,25*2)^3
=3^61/3^60 =(1/2)^3
=3 =1/8
bài 2
a,(x-1)^3=27 b,x^2+x
(x-1)^3=3^3 x*(x+1)=0
x-1=3 x=0 hoặc x+1=0
x=4 vậy x=0 hoặc -1
c,(2x+1)^2=25
(2x+1)^2=(+-5)^2
TH1 2x+1=5 TH2: 2x+1=-5 d,e đến lp làm
2x=5-1 2x=-5-1
2x=4 2x=-6
x=4/2 x=-6/2
x=2 x=-3
![](https://rs.olm.vn/images/avt/0.png?1311)
1: =1/8*9/4=9/32
2: =8/27*243/32=9/4
3: =(5/4*4/5)^5*(4/5)^2=16/25
4: \(=\left(-\dfrac{5}{6}\cdot\dfrac{6}{5}\right)^2\cdot\left(\dfrac{6}{5}\right)^2=\dfrac{36}{25}\)
5: \(=\left(-\dfrac{4}{3}\right)^3\cdot\left(\dfrac{3}{4}\right)^{10}=\left(-1\right)\left(\dfrac{3}{4}\right)^7=-\left(\dfrac{3}{4}\right)^7\)
6: \(=\left(\dfrac{1}{3}\cdot\dfrac{-9}{2}\right)^4\left(-\dfrac{9}{2}\right)^2=\left(-\dfrac{3}{2}\right)^4\cdot\dfrac{81}{4}=\dfrac{9}{4}\cdot\dfrac{81}{4}=\dfrac{729}{16}\)
8: =(0,2*5)^4*5^2=25
10: =-0,5^5*2^10
=-0,5^5*2^5*2^5
=-32
13: =(0,5*2)^2*2^2=4
![](https://rs.olm.vn/images/avt/0.png?1311)
5: \(=3-\dfrac{1}{4}+\dfrac{2}{3}-5+\dfrac{1}{3}+\dfrac{6}{5}-6+\dfrac{7}{4}-\dfrac{3}{2}\)
\(=3-5-6+\dfrac{-1}{4}+\dfrac{7}{4}+\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{6}{5}-\dfrac{3}{2}\)
\(=-8+\dfrac{3}{2}+1+\dfrac{-3}{10}\)
\(=-7+\dfrac{15-3}{10}=-7+\dfrac{6}{5}=-\dfrac{29}{5}\)
6: \(=6-\dfrac{2}{3}+\dfrac{1}{2}-5-\dfrac{5}{3}+\dfrac{3}{2}-3+\dfrac{7}{3}-\dfrac{5}{2}\)
\(=6-5-3-\dfrac{2}{3}-\dfrac{5}{3}+\dfrac{7}{3}+\dfrac{1}{2}+\dfrac{3}{2}-\dfrac{5}{2}\)
\(=-2-\dfrac{1}{2}=-\dfrac{5}{2}\)
7: \(=\dfrac{5}{3}-\dfrac{3}{7}+9-2-\dfrac{5}{7}+\dfrac{2}{3}+\dfrac{8}{7}-\dfrac{4}{3}-10\)
\(=9-2-10+\dfrac{5}{3}+\dfrac{2}{3}-\dfrac{4}{3}+\dfrac{-3}{7}-\dfrac{5}{7}+\dfrac{8}{7}\)
=-3+1
=-2
8: \(=8-\dfrac{9}{4}+\dfrac{2}{7}+6+\dfrac{3}{7}-\dfrac{5}{4}-3-\dfrac{2}{4}+\dfrac{9}{7}\)
\(=8+6-3+\dfrac{2}{7}+\dfrac{3}{7}+\dfrac{9}{7}-1-\dfrac{2}{4}\)
\(=11+2-1-\dfrac{1}{2}\)
=11+1/2
=11,5
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
#)Giải :
\(A=\frac{1}{2}-\frac{2}{3}+\frac{3}{4}-\frac{4}{5}+\frac{5}{6}-\frac{6}{7}-\frac{5}{6}+\frac{4}{5}-\frac{3}{4}+\frac{2}{3}-\frac{1}{2}\)
\(A=\left(\frac{1}{2}-\frac{1}{2}\right)+\left(-\frac{2}{3}+\frac{2}{3}\right)+\left(\frac{3}{4}-\frac{3}{4}\right)+\left(-\frac{4}{5}+\frac{4}{5}\right)+\left(\frac{5}{6}-\frac{5}{6}\right)-\frac{6}{7}\)
\(A=0+0+0+0+0-\frac{6}{7}\)
\(A=-\frac{6}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa đề: 3^5+3^5+3^5; 2^x
=>\(2^x=\dfrac{4^5\cdot4}{3^5\cdot3}\cdot\dfrac{6^5\cdot6}{2^5\cdot2}\)
=>\(2^x=\left(\dfrac{4}{3}\right)^6\cdot\left(\dfrac{6}{2}\right)^6=4^6=2^{12}\)
=>x=12
Ý bạn là như thế này
\(2^{15}.\frac{9^4}{6^3}.8^3=2^{15}\frac{3^8}{3^3.2^3}.2^9=2^{24}.3^5:2^3=2^{21}.3^5=509607936\)
Hay là thế này
\(\frac{2^{15}.9^4}{6^3.8^3}=\frac{2^{15}.3^8}{3^3.2^3.2^9}=\frac{2^{15}.3^8}{3^3.2^{11}}=2^4.3^5=3888\)
Cái nào trong số này là ý của bạn
Cách làm như bạn kia nhưng khi làm bạn ấy làm sai 9 + 3 = 11 ? Thế là kết quả phải ra 1944