簡約 (-1/2)^6(1/2)^6(-3/4)^6

解

簡約

(- \frac{1}{2})^{6} \cdot (\frac{1}{2})^{6} \cdot (- \frac{3}{4})^{6}

\frac{729}{16777216}

十進法表記

0.00004 \dots

解答ステップ

(- \frac{1}{2})^{6} (\frac{1}{2})^{6} (- \frac{3}{4})^{6}

(- \frac{1}{2})^{6} (\frac{1}{2})^{6} = \frac{1}{4096}

= \frac{1}{4096} (- \frac{3}{4})^{6}

(- \frac{3}{4})^{6} = \frac{3 ^{6}}{4 ^{6}}

= \frac{1}{4096} \cdot \frac{3 ^{6}}{4 ^{6}}

分数を乗じる:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 3 ^{6}}{4096 \cdot 4 ^{6}}

乗算:

1 \cdot 3^{6} = 3^{6}

= \frac{3 ^{6}}{4 ^{6} \cdot 4096}

3^{6} = 729

= \frac{729}{4 ^{6} \cdot 4096}

4096 \cdot 4^{6} = 16777216

= \frac{729}{16777216}