\(\left(7,5\right)^{2022}\cdot\dfrac{1}{72^{2023}}\cdot\left(-0,4\right)^{2022}\cdot\left(-24\right)^{2023}\)\(=\left[\left(7,5\right)^{2022}\cdot\left(-0,4\right)^{2022}\right]\cdot\left[\dfrac{1}{72^{2023}}\cdot\left(-24\right)^{2023}\right]\)\(=\left(7,5\cdot-0,4\right)^{2022}\cdot\left(-\dfrac{24}{72}\right)^{2023}\)\(=\left(-3\right)^{2022}\cdot\left(-\dfrac{1}{3}\right)^{2023}\)\(=\left(-3\right)^{2022}\cdot\left[\left(-3\right)^{-1}\right]^{2023}\)\(=\left(-3\right)^{2022}\cdot\left(-3\right)^{-2023}\)\(=\left(-3\right)^{2022-2023}\)\(=\left(-3\right)^{-1}\)\(=-\dfrac{1}{3}\)Câu trả lời: \(\left(7,5\right)^{2022}\cdot\dfrac{1}{72^{2023}}\cdot\left(-0,4\right)^{2022}\cdot\left(-24\right)^{2023}\)\(=\left[\left(7,5\right)^{2022}\cdot\left(-0,4\right)^{2022}\right]\cdot\left[\dfrac{1}{72^{2023}}\cdot\left(-24\right)^{2023}\right]\)\(=\left(7,5\cdot-0,4\right)^{2022}\cdot\left(-\dfrac{24}{72}\right)^{2023}\)\(=\left(-3\right)^{2022}\cdot\left(-\dfrac{1}{3}\right)^{2023}\)\(=\left(-3\right)^{2022}\cdot\left[\left(-3\right)^{-1}\right]^{2023}\)\(=\left(-3\right)^{2022}\cdot\left(-3\right)^{-2023}\)\(=\left(-3\right)^{2022-2023}\)\(=\left(-3\right)^{-1}\)\(=-\dfrac{1}{3}\)