簡約 9^00.9^{-6}

解

簡約

9^{0} 0. 9^{- 6}

1.88167 \dots

解答ステップ

9^{0} \cdot 0. 9^{- 6}

指数の規則を適用する:

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

= 9^{0} \cdot \frac{1}{0. 9 ^{6}}

規則を適用

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

9^{0} = 1

= 1 \cdot \frac{1}{0. 9 ^{6}}

乗算:

1 \cdot \frac{1}{0. 9 ^{6}} = \frac{1}{0. 9 ^{6}}

= \frac{1}{0. 9 ^{6}}

0. 9^{6} = 0.531441

= \frac{1}{0.531441}

数を割る:

\frac{1}{0.531441} = 1.88167 \dots

= 1.88167 \dots