簡約 2(-1/2)^3+3(-1/2)^2-36(-1/2)

解

簡約

2 (- \frac{1}{2})^{3} + 3 (- \frac{1}{2})^{2} - 36 (- \frac{1}{2})

\frac{37}{2}

十進法表記

18.5

解答ステップ

2 (- \frac{1}{2})^{3} + 3 (- \frac{1}{2})^{2} - 36 (- \frac{1}{2})

2 (- \frac{1}{2})^{3} = - 2 \cdot \frac{1}{8}

(- \frac{1}{2})^{2} = \frac{1}{4}

36 (- \frac{1}{2}) = - 18

= - 2 \cdot \frac{1}{8} + 3 \cdot \frac{1}{4} - (- 18)

- 2 \cdot \frac{1}{8} + 3 \cdot \frac{1}{4} - (- 18) = \frac{- \frac{1}{8} \cdot 16 + \frac{1}{4} \cdot 24}{8} + \frac{18}{1}

= \frac{- \frac{1}{8} \cdot 16 + \frac{1}{4} \cdot 24}{8} + \frac{18}{1}

- \frac{1}{8} \cdot 16 + \frac{1}{4} \cdot 24 = 4

= \frac{4}{8} + \frac{18}{1}

\frac{4}{8} + \frac{18}{1} = \frac{37}{2}

= \frac{37}{2}