簡約-3(1/3)^2

解

簡約

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

- \frac{1}{3}

十進法表記

- 0.33333 \dots

解答ステップ

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

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{3})^{2} = \frac{1 ^{2}}{3 ^{2}}

= - 3 \cdot \frac{1 ^{2}}{3 ^{2}}

1^{2} = 1

= - 3 \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= - 3 \cdot \frac{1}{9}

- 3 \cdot \frac{1}{9} = - \frac{1}{3}

= - \frac{1}{3}