\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}=\dfrac{\left(25.3\right)^{50}.2^{100}}{\left(25.4\right)^{50}.\left(3^2\right)^{25}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.4^{50}.3^{50}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.\left(2^{2^{ }}\right)^{50}.3^{50}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.2^{100}.3^{50}}=1\)

\(\dfrac{75^{50}\cdot2^{100}}{100^{50}\cdot9^{25}}=\dfrac{25^{50}\cdot3^{50}\cdot4^{50}}{25^{50}\cdot4^{50}\cdot3^{50}}=1\)

\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}=\dfrac{\left(25.3\right)^{50}.2^{100}}{\left(25.4\right)^{50}.\left(3^2\right)^{25}}=\dfrac{25^{50}.3^{50}.2^{100}}{\left(25^{50}\right).\left(2^2\right)^{50}.\left(3^2\right)^{25}}=\dfrac{25^{50}.3^{50}.2^{100}}{25^{50}.2^{100}.3^{50}}=1\)

=1 chúc bạn học tốt

bạn giải chi tiết ra cho mk với

\(\frac{\left(3\times5^2\right)^{50}\times2^{100}}{\left(2^2\times5^2\right)^{50}\times\left(3^2\right)^{25}}\)=\(\frac{3^{50}\times5^{100}\times2^{100}}{2^{100}\times5^{100}\times3^{50}}\)=\(\frac{1\times1\times1}{1\times1\times1}\)=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).

1

= 1

13/50=0,26

9%=0,09

41/100=0,41

=>0,26+0,09+0,41+0,26=1

\(\dfrac{13}{50}+9\%+\dfrac{41}{100}+0,24\)

\(=\dfrac{13}{50}+\dfrac{9}{100}+\dfrac{41}{100}+\dfrac{6}{25}\)

\(=\dfrac{13}{50}+\dfrac{9}{100}+\dfrac{41}{100}+\dfrac{12}{50}\)

\(=\left(\dfrac{13}{50}+\dfrac{12}{50}\right)+\left(\dfrac{9}{100}+\dfrac{41}{100}\right)\)

\(=\dfrac{25}{50}+\dfrac{50}{100}\)

\(=\dfrac{25}{50}+\dfrac{25}{50}\)

\(=\dfrac{50}{50}=1\)

\(\dfrac{13}{50}+9\%+\dfrac{41}{100}+0,24\)

\(=\dfrac{26}{100}+\dfrac{9}{100}+\dfrac{41}{100}+\dfrac{24}{100}\)

\(=\left(\dfrac{26}{100}+\dfrac{24}{100}\right)+\left(\dfrac{9}{100}+\dfrac{41}{100}\right)\)

\(=\dfrac{50}{100}+\dfrac{50}{100}=\dfrac{1}{2}+\dfrac{1}{2}=\dfrac{2}{2}=1\)