Resolver (0.25)(0.25-1)(0.25+1)(0.25-2)(0.25+2)(1.44)/120

$$\frac { ( 0.25 ) ( 0.25 - 1 ) ( 0.25 + 1 ) ( 0.25 - 2 ) ( 0.25 + 2 ) ( 1.44 ) } { 120 }$$

Calcular

$$0.01107421875$$

Pasos da solución

Resta 1 de 0.25 para obter -0.75.

$$\frac{0.25\left(-0.75\right)\left(0.25+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiplica 0.25 e -0.75 para obter -0.1875.

$$\frac{-0.1875\left(0.25+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Suma 0.25 e 1 para obter 1.25.

$$\frac{-0.1875\times 1.25\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiplica -0.1875 e 1.25 para obter -0.234375.

$$\frac{-0.234375\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Resta 2 de 0.25 para obter -1.75.

$$\frac{-0.234375\left(-1.75\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiplica -0.234375 e -1.75 para obter 0.41015625.

$$\frac{0.41015625\left(0.25+2\right)\times 1.44}{120}$$

Suma 0.25 e 2 para obter 2.25.

$$\frac{0.41015625\times 2.25\times 1.44}{120}$$

Multiplica 0.41015625 e 2.25 para obter 0.9228515625.

$$\frac{0.9228515625\times 1.44}{120}$$

Multiplica 0.9228515625 e 1.44 para obter 1.32890625.

$$\frac{1.32890625}{120}$$

Expande \frac{1.32890625}{120} multiplicando o numerador e o denominador por 100000000.

$$\frac{132890625}{12000000000}$$

Reduce a fracción \frac{132890625}{12000000000} a termos máis baixos extraendo e cancelando 234375.

$$\frac{567}{51200}$$

Factorizar

$$\frac{7 \cdot 3 ^ {4}}{2 ^ {11} \cdot 5 ^ {2}} = 0.01107421875$$