簡約 (3.1^5)(8.1^{-4})

解

簡約

(3. 1^{5}) (8. 1^{- 4})

0.06650 \dots

解答ステップ

(3. 1^{5}) (8. 1^{- 4})

指数の規則を適用する:

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

= 3. 1^{5} \cdot \frac{1}{8. 1 ^{4}}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3. 1 ^{5}}{8. 1 ^{4}}

乗算:

1 \cdot 3. 1^{5} = 3. 1^{5}

= \frac{3. 1 ^{5}}{8. 1 ^{4}}

3. 1^{5} = 286.29151

= \frac{286.29151}{8. 1 ^{4}}

8. 1^{4} = 4304.6721

= \frac{286.29151}{4304.6721}

数を割る:

\frac{286.29151}{4304.6721} = 0.06650 \dots

= 0.06650 \dots