Resolver 130*10^6*(65*10^-3)^2/4*314

$$130 \times 10 ^ { 6 } \times \frac { ( 65 \times 10 ^ { - 3 } ) ^ { 2 } } { 4 } \times 314$$

Calcular

$$43116125$$

Pasos da solución

Calcula 10 á potencia de 6 e obtén 1000000.

$$130\times 1000000\times \frac{\left(65\times 10^{-3}\right)^{2}}{4}\times 314$$

Multiplica 130 e 1000000 para obter 130000000.

$$130000000\times \frac{\left(65\times 10^{-3}\right)^{2}}{4}\times 314$$

Calcula 10 á potencia de -3 e obtén \frac{1}{1000}.

$$130000000\times \frac{\left(65\times \frac{1}{1000}\right)^{2}}{4}\times 314$$

Multiplica 65 e \frac{1}{1000} para obter \frac{13}{200}.

$$130000000\times \frac{\left(\frac{13}{200}\right)^{2}}{4}\times 314$$

Calcula \frac{13}{200} á potencia de 2 e obtén \frac{169}{40000}.

$$130000000\times \frac{\frac{169}{40000}}{4}\times 314$$

Expresa \frac{\frac{169}{40000}}{4} como unha única fracción.

$$130000000\times \frac{169}{40000\times 4}\times 314$$

Multiplica 40000 e 4 para obter 160000.

$$130000000\times \frac{169}{160000}\times 314$$

Multiplica 130000000 e \frac{169}{160000} para obter \frac{274625}{2}.

$$\frac{274625}{2}\times 314$$

Multiplica \frac{274625}{2} e 314 para obter 43116125.

$$43116125$$

Factorizar

$$5^{3}\times 13^{3}\times 157$$