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d) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:3\right)^4-\left(32:16\right)^{12}\)
\(=8^4-2^{12}\)
\(=\left(2^3\right)^4-2^{12}\)
\(=2^{12}-2^{12}\)
\(=0\)
\(1,\\ a,=\dfrac{\sqrt{\left(\sqrt{a}-\sqrt{b}\right)^2}}{\sqrt{\left(\sqrt{a}-\sqrt{b}\right)}}=\sqrt{\dfrac{\left(\sqrt{a}-\sqrt{b}\right)^2}{\sqrt{a}-\sqrt{b}}}=\sqrt{\sqrt{a}-\sqrt{b}}\\ b,=\dfrac{\sqrt{\left(\sqrt{x}-\sqrt{3}\right)\left(\sqrt{x}+\sqrt{3}\right)}}{\sqrt{\sqrt{x}+\sqrt{3}}}\cdot\dfrac{\sqrt{3}}{\sqrt{\sqrt{x}-\sqrt{3}}}\\ =\sqrt{3}\\ c,=2y^2\cdot\dfrac{x^2}{\left|2y\right|}=\dfrac{2x^2y^2}{-2y}=-x^2y\\ d,=5xy\cdot\dfrac{\left|5x\right|}{y^2}=\dfrac{-25x^2y}{y^2}=\dfrac{-25x^2}{y}\)
Bài 2:
a: Ta có: \(A=\left(3\sqrt{18}+2\sqrt{50}-4\sqrt{72}\right):8\sqrt{2}\)
\(=\left(9\sqrt{2}+10\sqrt{2}-24\sqrt{2}\right):8\sqrt{2}\)
\(=\dfrac{-5\sqrt{2}}{8\sqrt{2}}=-\dfrac{5}{8}\)
b: Ta có: \(B=\left(-4\sqrt{20}+5\sqrt{500}-3\sqrt{45}\right):\sqrt{5}\)
\(=\left(-8\sqrt{5}+50\sqrt{5}-9\sqrt{5}\right):\sqrt{5}\)
\(=49\)
Vân Trình, Hùng Nam Yến, Khuê Hoa nữ tử, Tú Gầy,...
3. are there any eggs?-No, there aren't some
4.is there any salt?- yes, there is any
5.are there any carrots?-yes, there are some
6.are there any apples?-no there aren't some
7.is there any suger?-yes, there is any
8.are there any cakes?-no there aren't some
9.is there any butter?-no. there isn't any
10. is there any mineral water?- yes. there is any
\(\dfrac{2^4\cdot5^2\cdot11^2\cdot7}{2^3\cdot5^3\cdot7^2\cdot11}=2\cdot\dfrac{1}{5}\cdot11\cdot\dfrac{1}{7}=\dfrac{22}{35}\)