簡約 3^3*9^{-2}0.2^2

解

簡約

3^{3} \cdot 9^{- 2} 0. 2^{2}

\frac{1}{75}

十進法表記

0.01333 \dots

解答ステップ

3^{3} \cdot 9^{- 2} \cdot 0. 2^{2}

3^{3} = 27

= 27 \cdot 9^{- 2} \cdot 0. 2^{2}

9^{- 2} = \frac{1}{81}

= 27 \cdot \frac{1}{81} \cdot 0. 2^{2}

0. 2^{2} = 0.04

= 27 \cdot \frac{1}{81} \cdot 0.04

数を乗じる:

27 \cdot 0.04 = 1.08

= 1.08 \cdot \frac{1}{81}

= \frac{1}{81} \cdot 1.08

1.08 = \frac{27}{25}

= \frac{1}{81} \cdot \frac{27}{25}

\frac{1}{81} \cdot \frac{27}{25} = \frac{1}{75}

= \frac{1}{75}