Question

Tính

\(\dfrac{75^{50}.2^{100}}{100^{50}.9^{25}}\)

Answer 1

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

Answer 2

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