化简 3^{-3}0.3^1

解答

化简

3^{- 3} 0. 3^{1}

\frac{1}{90}

十进制

0.01111 \dots

求解步骤

3^{- 3} \cdot 0. 3^{1}

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

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

使用指数法则:

a^{1} = a

0. 3^{1} = 0.3

= \frac{1}{27} \cdot 0.3

0.3 = \frac{3}{10}

= \frac{1}{27} \cdot \frac{3}{10}

\frac{1}{27} \cdot \frac{3}{10} = \frac{1}{90}

= \frac{1}{90}

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