Resolver [(-05)^2-1/36div(-1/3)^3]*2/3-(1/3)^2div25*15

$$[ ( - 05 ) ^ { 2 } - \frac { 1 } { 36 } \div ( - \frac { 1 } { 3 } ) ^ { 3 } ] \times \frac { 2 } { 3 } - ( \frac { 1 } { 3 } ) ^ { 2 } \div 25 \times 15$$

Calcular

$$\frac{13}{30}\approx 0.433333333$$

Pasos da solución

Multiplica 0 e 5 para obter 0.

$$\left(0^{2}-\frac{\frac{1}{36}}{\left(-\frac{1}{3}\right)^{3}}\right)\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Calcula 0 á potencia de 2 e obtén 0.

$$\left(0-\frac{\frac{1}{36}}{\left(-\frac{1}{3}\right)^{3}}\right)\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Calcula -\frac{1}{3} á potencia de 3 e obtén -\frac{1}{27}.

$$\left(0-\frac{\frac{1}{36}}{-\frac{1}{27}}\right)\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Divide \frac{1}{36} entre -\frac{1}{27} mediante a multiplicación de \frac{1}{36} polo recíproco de -\frac{1}{27}.

$$\left(0-\frac{1}{36}\left(-27\right)\right)\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Multiplica \frac{1}{36} e -27 para obter -\frac{3}{4}.

$$\left(0-\left(-\frac{3}{4}\right)\right)\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

O contrario de -\frac{3}{4} é \frac{3}{4}.

$$\left(0+\frac{3}{4}\right)\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Suma 0 e \frac{3}{4} para obter \frac{3}{4}.

$$\frac{3}{4}\times \frac{2}{3}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Multiplica \frac{3}{4} e \frac{2}{3} para obter \frac{1}{2}.

$$\frac{1}{2}-\frac{\left(\frac{1}{3}\right)^{2}}{25}\times 15$$

Calcula \frac{1}{3} á potencia de 2 e obtén \frac{1}{9}.

$$\frac{1}{2}-\frac{\frac{1}{9}}{25}\times 15$$

Expresa \frac{\frac{1}{9}}{25} como unha única fracción.

$$\frac{1}{2}-\frac{1}{9\times 25}\times 15$$

Multiplica 9 e 25 para obter 225.

$$\frac{1}{2}-\frac{1}{225}\times 15$$

Multiplica \frac{1}{225} e 15 para obter \frac{1}{15}.

$$\frac{1}{2}-\frac{1}{15}$$

Resta \frac{1}{15} de \frac{1}{2} para obter \frac{13}{30}.

$$\frac{13}{30}$$

Factorizar

$$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$$