Tính
\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}\)
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\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}=\dfrac{\left(25.3\right)^{50}.2^{100}}{\left(25.4\right)^{50}.\left(3^2\right)^{25}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.4^{50}.3^{50}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.\left(2^{2^{ }}\right)^{50}.3^{50}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.2^{100}.3^{50}}=1\)
\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}\)
\(=\dfrac{\left(3.5^2\right)^{50}.\left(2^2\right)^{50}}{\left(2^2.5^2\right)+\left(3^2\right)^{50}}\)
\(=\dfrac{ \left(3.25\right)^{50}.4^{50}}{\left(4.25\right)^{50}.3^{50}}\)
\(=\dfrac{3^{50}.25^{50}.4^{50}}{4^{50}.25^{50}.3^{50}}=1\)
Đáp án D
Các quần thể đang ở trạng thái cân bằng di truyền là: (1),(2),(4)
Chọn đáp án D
Các quần thể đang ở trạng thái cân bằng di truyền là: (1), (2), (4).
\(\dfrac{13}{50}+9\%+\dfrac{41}{100}+0,24\)
\(=\dfrac{13}{50}+\dfrac{9}{100}+\dfrac{41}{100}+\dfrac{6}{25}\)
\(=\dfrac{13}{50}+\dfrac{9}{100}+\dfrac{41}{100}+\dfrac{12}{50}\)
\(=\left(\dfrac{13}{50}+\dfrac{12}{50}\right)+\left(\dfrac{9}{100}+\dfrac{41}{100}\right)\)
\(=\dfrac{25}{50}+\dfrac{50}{100}\)
\(=\dfrac{25}{50}+\dfrac{25}{50}\)
\(=\dfrac{50}{50}=1\)
\(\dfrac{13}{50}+9\%+\dfrac{41}{100}+0,24\)
\(=\dfrac{26}{100}+\dfrac{9}{100}+\dfrac{41}{100}+\dfrac{24}{100}\)
\(=\left(\dfrac{26}{100}+\dfrac{24}{100}\right)+\left(\dfrac{9}{100}+\dfrac{41}{100}\right)\)
\(=\dfrac{50}{100}+\dfrac{50}{100}=\dfrac{1}{2}+\dfrac{1}{2}=\dfrac{2}{2}=1\)
\(\dfrac{75^{50}\cdot2^{100}}{100^{50}\cdot9^{25}}=\dfrac{25^{50}\cdot3^{50}\cdot4^{50}}{25^{50}\cdot4^{50}\cdot3^{50}}=1\)
\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}=\dfrac{\left(25.3\right)^{50}.2^{100}}{\left(25.4\right)^{50}.\left(3^2\right)^{25}}=\dfrac{25^{50}.3^{50}.2^{100}}{\left(25^{50}\right).\left(2^2\right)^{50}.\left(3^2\right)^{25}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.2^{100}.3^{50}}=1\)