Resolver 12(-0.2+1)(-0.2+2)(-0.2+3)(0.4)/24

$$\frac { 12 ( - 0.2 + 1 ) ( - 0.2 + 2 ) ( - 0.2 + 3 ) ( 0.4 ) } { 24 }$$

Calcular

$$0.8064$$

Pasos da solución

Suma -0.2 e 1 para obter 0.8.

$$\frac{12\times 0.8\left(-0.2+2\right)\left(-0.2+3\right)\times 0.4}{24}$$

Multiplica 12 e 0.8 para obter 9.6.

$$\frac{9.6\left(-0.2+2\right)\left(-0.2+3\right)\times 0.4}{24}$$

Suma -0.2 e 2 para obter 1.8.

$$\frac{9.6\times 1.8\left(-0.2+3\right)\times 0.4}{24}$$

Multiplica 9.6 e 1.8 para obter 17.28.

$$\frac{17.28\left(-0.2+3\right)\times 0.4}{24}$$

Suma -0.2 e 3 para obter 2.8.

$$\frac{17.28\times 2.8\times 0.4}{24}$$

Multiplica 17.28 e 2.8 para obter 48.384.

$$\frac{48.384\times 0.4}{24}$$

Multiplica 48.384 e 0.4 para obter 19.3536.

$$\frac{19.3536}{24}$$

Expande \frac{19.3536}{24} multiplicando o numerador e o denominador por 10000.

$$\frac{193536}{240000}$$

Reduce a fracción \frac{193536}{240000} a termos máis baixos extraendo e cancelando 384.

$$\frac{504}{625}$$

Factorizar

$$\frac{7 \cdot 2 ^ {3} \cdot 3 ^ {2}}{5 ^ {4}} = 0.8064$$