簡約 (4/3)^3-4(4/3)^2

解

簡約

(\frac{4}{3})^{3} - 4 (\frac{4}{3})^{2}

- \frac{128}{27}

十進法表記

- 4.74074 \dots

解答ステップ

(\frac{4}{3})^{3} - 4 (\frac{4}{3})^{2}

(\frac{4}{3})^{3} = \frac{64}{27}

(\frac{4}{3})^{2} = \frac{16}{9}

= \frac{64}{27} - 4 \cdot \frac{16}{9}

4 \cdot \frac{16}{9} = \frac{64}{9}

= \frac{64}{27} - \frac{64}{9}

\frac{64}{27} - \frac{64}{9} = - \frac{128}{27}

= - \frac{128}{27}