簡約 (2560000)^{1/4}(0.0147)^{1/2}(27)^{1/2}

解

簡約

(2560000)^{\frac{1}{4}} (0.0147)^{\frac{1}{2}} (27)^{\frac{1}{2}}

3^{\frac{1}{2}} \cdot \frac{42 \cdot 3 ^{\frac{1}{2}}}{5}

十進法表記

25.2

解答ステップ

256000 0^{\frac{1}{4}} \cdot 0.014 7^{\frac{1}{2}} \cdot 2 7^{\frac{1}{2}}

256000 0^{\frac{1}{4}} = 40

= 40 \cdot 0.014 7^{\frac{1}{2}} \cdot 2 7^{\frac{1}{2}}

0.014 7^{\frac{1}{2}} = \frac{7 \cdot 3 ^{\frac{1}{2}}}{100}

= 40 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} \cdot 2 7^{\frac{1}{2}}

2 7^{\frac{1}{2}} = 3 \cdot 3^{\frac{1}{2}}

= 40 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} \cdot 3 \cdot 3^{\frac{1}{2}}

数を乗じる:

40 \cdot 3 = 120

= 120 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} \cdot 3^{\frac{1}{2}}

= 3^{\frac{1}{2}} \cdot 120 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100}

3^{\frac{1}{2}} \cdot 120 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} = 3^{\frac{1}{2}} \cdot \frac{42 \cdot 3 ^{\frac{1}{2}}}{5}

= 3^{\frac{1}{2}} \cdot \frac{42 \cdot 3 ^{\frac{1}{2}}}{5}