簡約 (-1/4 r^5v^7w^2)(5r^3w^8x)(-8v^5w^{19}x^5)

解

簡約

(- \frac{1}{4} r^{5} v^{7} w^{2}) (5 r^{3} w^{8} x) (- 8 v^{5} w^{19} x^{5})

10 r^{8} v^{12} w^{29} x^{6}

解答ステップ

(- \frac{1}{4} r^{5} v^{7} w^{2}) (5 r^{3} w^{8} x) (- 8 v^{5} w^{19} x^{5})

簡素化

(- \frac{1}{4} r^{5} v^{7} w^{2}) (- 8 v^{5} w^{19} x^{5}) : 2 r^{5} v^{12} w^{21} x^{5}

= 2 r^{5} v^{12} w^{21} x^{5} \cdot 5 r^{3} w^{8} x

数を乗じる:

2 \cdot 5 = 10

= 10 r^{5} v^{12} w^{21} x^{5} r^{3} w^{8} x

簡素化

r^{5} r^{3} : r^{8}

= 10 r^{8} v^{12} w^{21} x^{5} w^{8} x

簡素化

w^{21} w^{8} : w^{29}

= 10 r^{8} v^{12} w^{29} x^{5} x

簡素化

x^{5} x : x^{6}

= 10 r^{8} v^{12} w^{29} x^{6}