簡約 0.2651.33^210*9533^{-0.133}

解

簡約

0.265 \cdot 1.3 3^{2} \cdot 10 \cdot 953 3^{- 0.133}

\frac{937517}{200000 \cdot 953 3 ^{0.133}}

十進法表記

1.38583 \dots

解答ステップ

0.265 \cdot 1.3 3^{2} \cdot 10 \cdot 953 3^{- 0.133}

数を乗じる:

0.265 \cdot 10 = 2.65

= 2.65 \cdot 1.3 3^{2} \cdot 953 3^{- 0.133}

= 1.3 3^{2} \cdot 953 3^{- 0.133} \cdot 2.65

1.3 3^{2} = 1.7689

= 1.7689 \cdot 953 3^{- 0.133} \cdot 2.65

指数の規則を適用する:

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

953 3^{- 0.133} = \frac{1}{953 3 ^{0.133}}

= 1.7689 \cdot \frac{1}{953 3 ^{0.133}} \cdot 2.65

数を乗じる:

1.7689 \cdot 2.65 = 4.687585

= 4.687585 \cdot \frac{1}{953 3 ^{0.133}}

4.687585 \cdot \frac{1}{953 3 ^{0.133}} = \frac{4.687585}{953 3 ^{0.133}}

= \frac{4.687585}{953 3 ^{0.133}}

\frac{4.687585}{953 3 ^{0.133}} = \frac{4687585}{1000000 \cdot 953 3 ^{0.133}}

= \frac{4687585}{1000000 \cdot 953 3 ^{0.133}}

数を因数に分解する:

4687585 = 5 \cdot 937517

= \frac{5 \cdot 937517}{1000000 \cdot 953 3 ^{0.133}}

数を因数に分解する:

1000000 = 5 \cdot 200000

= \frac{5 \cdot 937517}{5 \cdot 200000 \cdot 953 3 ^{0.133}}

共通因数を約分する:

5

= \frac{937517}{200000 \cdot 953 3 ^{0.133}}