Question

[Nguyễn Hà Anh]

a. (²/₃ - 25%).(-²/₅)² - (1²/₅ + 1¹/₃ - 2)

b. (⁷/₂ + 50%).10 - (3,6 : 2²/₅)³.(-²⁰²³/₂₀₂₄)⁰

mn bt lm thì ghi chi tiết từng bước một dùm mk nha mk cảm ơn trc!💖💟

Answer 1

[Nguyễn Lê Phước Thịnh]

a: \(\left(\frac23-25\%\right)\cdot\left(-\frac25\right)^2-\left(1\frac25+1\frac13-2\right)\)

\(=\left(\frac23-\frac14\right)\cdot\frac{4}{25}-\left(1+\frac25+1+\frac13-2\right)\)

\(=\frac{5}{12}\cdot\frac{4}{25}-\left(\frac25+\frac13\right)\)

\(=\frac{20}{300}-\frac{11}{15}=\frac{1}{15}-\frac{11}{15}=-\frac{10}{15}=-\frac23\)

b: \(\left(\frac72+50\%\right)\cdot10-\left(3,6:2\frac25\right)^3\cdot\left(-\frac{2023}{2024}\right)^0\)

\(=\left(\frac72+\frac12\right)\cdot10-\left(\frac{18}{5}:\frac{12}{5}\right)^2\)

\(=4\cdot10-\left(\frac32\right)^2=40-2,25=37,75\)