簡約 3^{-3}0.3^00.4^2

解

簡約

3^{- 3} 0. 3^{0} 0. 4^{2}

\frac{4}{675}

十進法表記

0.00592 \dots

解答ステップ

3^{- 3} \cdot 0. 3^{0} \cdot 0. 4^{2}

3^{- 3} = \frac{1}{27}

= \frac{1}{27} \cdot 0. 3^{0} \cdot 0. 4^{2}

指数の規則を適用する:

a^{0} = 1, a \neq = 0

0. 3^{0} = 1

= \frac{1}{27} \cdot 1 \cdot 0. 4^{2}

0. 4^{2} = 0.16

= \frac{1}{27} \cdot 1 \cdot 0.16

数を乗じる:

1 \cdot 0.16 = 0.16

= \frac{1}{27} \cdot 0.16

0.16 = \frac{4}{25}

= \frac{1}{27} \cdot \frac{4}{25}

\frac{1}{27} \cdot \frac{4}{25} = \frac{4}{675}

= \frac{4}{675}