簡約 4(0.38)^{0.2}(0.2435)^{-0.6}

解

簡約

4 (0.38)^{0.2} (0.2435)^{- 0.6}

0.3 8^{0.2} \cdot \frac{4}{0.243 5 ^{0.6}}

十進法表記

7.69338 \dots

解答ステップ

4 \cdot 0.3 8^{0.2} \cdot 0.243 5^{- 0.6}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

0.243 5^{- 0.6} = \frac{1}{0.243 5 ^{0.6}}

= 4 \cdot 0.3 8^{0.2} \cdot \frac{1}{0.243 5 ^{0.6}}

4 \cdot 0.3 8^{0.2} \cdot \frac{1}{0.243 5 ^{0.6}} = \frac{4}{0.243 5 ^{0.6}} \cdot 0.3 8^{0.2}

= \frac{4}{0.243 5 ^{0.6}} \cdot 0.3 8^{0.2}

= 0.3 8^{0.2} \cdot \frac{4}{0.243 5 ^{0.6}}