Lập các cặp phân số bằng nhau từ 4 trong 5 số sau: 2; 4; 8;16; 32.
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2. All flights were cancelled because of fog.
3. I was accused of straling money.
4. How is this word used?
5. All taxes are included in the price.
6. We were warned not to go out alone.
7. This office wasn't used any more.
8, Five hundred people were invited to the wedding.
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So sánh: \(5^{36}\) và \(11^{24}\)
Ta có: \(5^{36}=\left(5^3\right)^{12}\) và \(11^{24}=\left(11^2\right)^{12}\)
Vậy \(5^{36}=\left(5^3\right)^{12}=125^{12}\) và \(11^{24}=\left(11^2\right)^{12}=121^{12}\)
Mà \(125^{12}>121^{12}\Rightarrow5^{36}>11^{24}\)
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\(\left(3+3^2+3^3+3^4+...+3^{99}+3^{100}\right)\\ =3.\left(1+3\right)+3^3\left(1+3\right)+...+3^{99}\left(1+3\right)\\ =3.4+3^3.4+...+3^{99}.4\\ =4.\left(3+3^3+...+3^{99}\right)⋮4\left(ĐPCM\right)\)
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\(27^{11}=\left(3^3\right)^{11}=3^{3.11}=3^{33};81^8=\left(3^4\right)^8=3^{4.8}=3^{32}\\ Vì:3^{33}>3^{32}.Nên:27^{11}>81^8\)
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\(5x\left(x-3\right)-3\left(x+1\right)=-12\)
\(5x\left(x-3\right)-3\left(x+1\right)+12=0\)
\(5x\left(x-3\right)-3\left(x+1-4\right)=0\)
\(5x\left(x-3\right)-3\left(x-3\right)=0\)
\(\left(5x-3\right)\left(x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}5x-3=0\\x-3=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{5}\notin Z\left(loại\right)\\x=3\end{matrix}\right.\)
Các cặp phân số bằng nhau: \(\dfrac{2}{4}\)=\(\dfrac{4}{8}\)=\(\dfrac{8}{16}\)=\(\dfrac{16}{32}\)
\(\dfrac{2}{8}\)=\(\dfrac{4}{16}=\dfrac{8}{32}\)
\(\dfrac{4}{2}=\dfrac{8}{4}=\dfrac{16}{8}=\dfrac{32}{16}\)