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\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
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\(a,\left(3^2\cdot5^2\cdot4^3\right):\left(8\cdot3^2\right)\)
\(=\frac{3^2\cdot5^2\cdot4^3}{8\cdot3^2}\)
\(=\frac{3^2\cdot5^2\cdot2^6}{2^3\cdot3^2}\)
\(=5^2\cdot2^3\)
\(=25\cdot8=200\)
\(b,\left(2^{10}\cdot13+2^9\cdot130\right):\left(2^8\cdot104\right)\)
\(=\frac{2^{10}\cdot13+2^9\cdot130}{2^8\cdot104}\)
\(=\frac{2^9\cdot\left(2\cdot13+130\right)}{2^8\cdot2^3\cdot13}\)
\(=\frac{2^9\cdot156}{2^{11}\cdot13}\)
\(=\frac{2^9\cdot2^3\cdot3\cdot13}{2^{11}\cdot13}\)
\(=\frac{2^{12}\cdot3\cdot13}{2^{11}\cdot13}\)
\(=2.3=6\)
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A=5^10 .9+5^10.7 / 5^9.2^4
A=5^10.(9+7) / 5^9.16
A=5^10.16 /5^9.16
A=5^9.5.16/5^9.16
=>A=5/1
=>A=1
B=2^10.55+2^10. 26 / 2^8 . 27
B=2^10.(55+26) / 2^8 .27
B=2^10.81 / 2^8 .27
B=2^8.2^2.81 / 2^8.27
=>B=2^2.81 / 27
=>B=4.81 / 27
=>B=4.3^3.3 / 3^3
=>B=4.3
=>B=12
Cn phần C thì....mik chưa rõ lém nhưng mak nếu ai cko mik là dzui lém òy......ủng hộ nhoa mina
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a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)
b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)
c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)
d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)
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- 22.32.5:22.3-32=3.5-32=15-9=6
- 2.52-22.32:32=2.(52-2)=2.(25-2)=46
3. 33.19-33.12=33.(19-12)=33.7=189
4. 3.52-16:22=3.52-24:22=3.25-4=75-4=71
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Ta có : M = 10 mũ 8 + 2 phần 10 mũ 8 - 1 = 10 mũ 8 - 1 phần 10 mũ 8 - 1 + 3 phần 10 mũ 8 - 1 = 1 = 3 + phần 10 mũ 8 - 1
N = 10 mũ 8 phần 10 mũ 8 -3 = 10 mũ 8 - 3 phần 10 mũ 8 - 3 + 3 phần 10 mũ 8 -3
Vì 3 + phần 10 mũ 8 - 1 > 3 phần 10 mũ 8 - 3
=> M > N
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Ta có:\(A=\frac{10^8+2}{10^8-1}=\frac{10^8-1+3}{10^8-1}\)
\(\Rightarrow A=\frac{10^8-1}{10^8-1}+\frac{3}{10^8-1}\)
\(\Rightarrow A=1+\frac{3}{10^8-1}\)
\(B=\frac{10^8}{10^8-3}=\frac{10^8-3}{10^8-3}+\frac{3}{10^8-3}\)
\(\Rightarrow B=1+\frac{3}{10^8-3}\)
Vì \(\frac{3}{10^8-1}>\frac{3}{10^8-3}\Rightarrow A>B\)
![](https://rs.olm.vn/images/avt/0.png?1311)
các bạn có thể giải chi tiết cho mình được ko . Mình cần ghấp lắm
2^8+10^3=256+1000=1256
TL:
2^8 + 10^3 = 256 + 1000 = 1256
HT!