Resolver ((2*3)*(2*5)*(2*5))/[(-2)^4*(-5)^2]

$$\frac { ( ( 2 \times 3 ) \times ( 2 \times 5 ) \times ( 2 \times 5 ) ) } { [ ( - 2 ) ^ { 4 } \times ( - 5 ) ^ { 2 } ] }$$

Calcular

$$\frac{3}{2}=1.5$$

Pasos da solución

Multiplica 2 e 3 para obter 6.

$$\frac{6\times 2\times 5\times 2\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiplica 6 e 2 para obter 12.

$$\frac{12\times 5\times 2\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiplica 12 e 5 para obter 60.

$$\frac{60\times 2\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiplica 60 e 2 para obter 120.

$$\frac{120\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiplica 120 e 5 para obter 600.

$$\frac{600}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Calcula -2 á potencia de 4 e obtén 16.

$$\frac{600}{16\left(-5\right)^{2}}$$

Calcula -5 á potencia de 2 e obtén 25.

$$\frac{600}{16\times 25}$$

Multiplica 16 e 25 para obter 400.

$$\frac{600}{400}$$

Reduce a fracción \frac{600}{400} a termos máis baixos extraendo e cancelando 200.

$$\frac{3}{2}$$

Factorizar

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$