簡約 (9c^5m^9p^2)(-1/3 c^6m)

解

簡約

(9 c^{5} m^{9} p^{2}) (- \frac{1}{3} c^{6} m)

- 3 c^{11} m^{10} p^{2}

解答ステップ

(9 c^{5} m^{9} p^{2}) (- \frac{1}{3} c^{6} m)

規則を適用する:

a (- b) = - ab

(9 c^{5} m^{9} p^{2}) (- \frac{1}{3} c^{6} m) = - 9 c^{5} m^{9} p^{2} \frac{1}{3} c^{6} m

= - 9 c^{5} m^{9} p^{2} \frac{1}{3} c^{6} m

簡素化

c^{5} c^{6} : c^{11}

= - 9 c^{11} m^{9} p^{2} \frac{1}{3} m

簡素化

m^{9} m : m^{10}

= - 9 c^{11} m^{10} p^{2} \frac{1}{3}

簡素化

- 9 c^{11} m^{10} p^{2} \frac{1}{3} : - 3 c^{11} m^{10} p^{2}

= - 3 c^{11} m^{10} p^{2}