簡約 4.51.34.33^{-0.76}

解

簡約

4.5 \cdot 1.3 \cdot 4.3 3^{- 0.76}

\frac{117}{20 \cdot 4.3 3 ^{0.76}}

十進法表記

1.92054 \dots

解答ステップ

4.5 \cdot 1.3 \cdot 4.3 3^{- 0.76}

数を乗じる:

4.5 \cdot 1.3 = 5.85

= 5.85 \cdot 4.3 3^{- 0.76}

= 4.3 3^{- 0.76} \cdot 5.85

指数の規則を適用する:

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

4.3 3^{- 0.76} = \frac{1}{4.3 3 ^{0.76}}

= \frac{1}{4.3 3 ^{0.76}} \cdot 5.85

\frac{1}{4.3 3 ^{0.76}} \cdot 5.85 = \frac{5.85}{4.3 3 ^{0.76}}

= \frac{5.85}{4.3 3 ^{0.76}}

\frac{5.85}{4.3 3 ^{0.76}} = \frac{585}{100 \cdot 4.3 3 ^{0.76}}

= \frac{585}{100 \cdot 4.3 3 ^{0.76}}

数を因数に分解する:

585 = 5 \cdot 117

= \frac{5 \cdot 117}{100 \cdot 4.3 3 ^{0.76}}

数を因数に分解する:

100 = 5 \cdot 20

= \frac{5 \cdot 117}{5 \cdot 20 \cdot 4.3 3 ^{0.76}}

共通因数を約分する:

5

= \frac{117}{20 \cdot 4.3 3 ^{0.76}}