簡約 (16/3)^3-8(16/3)^2

解

簡約

(\frac{16}{3})^{3} - 8 (\frac{16}{3})^{2}

- \frac{2048}{27}

十進法表記

- 75.85185 \dots

解答ステップ

(\frac{16}{3})^{3} - 8 (\frac{16}{3})^{2}

(\frac{16}{3})^{3} = \frac{4096}{27}

(\frac{16}{3})^{2} = \frac{256}{9}

= \frac{4096}{27} - 8 \cdot \frac{256}{9}

8 \cdot \frac{256}{9} = \frac{2048}{9}

= \frac{4096}{27} - \frac{2048}{9}

\frac{4096}{27} - \frac{2048}{9} = - \frac{2048}{27}

= - \frac{2048}{27}