Resolver 8.85*10^-12*4.39*10^-5/314*831=

$$\frac { 8.85 \times 10 ^ { - 12 } \cdot 4.39 \times 10 ^ { - 5 } } { 314 \cdot 831 } =$$

Calcular

$$\frac{25901}{17395600000000000000000000}\approx 1.488939732 \cdot 10^{-21}$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -12 e -5 para obter -17.

$$\frac{8.85\times 10^{-17}\times 4.39}{314\times 831}$$

Calcula 10 á potencia de -17 e obtén \frac{1}{100000000000000000}.

$$\frac{8.85\times \frac{1}{100000000000000000}\times 4.39}{314\times 831}$$

Multiplica 8.85 e \frac{1}{100000000000000000} para obter \frac{177}{2000000000000000000}.

$$\frac{\frac{177}{2000000000000000000}\times 4.39}{314\times 831}$$

Multiplica \frac{177}{2000000000000000000} e 4.39 para obter \frac{77703}{200000000000000000000}.

$$\frac{\frac{77703}{200000000000000000000}}{314\times 831}$$

Multiplica 314 e 831 para obter 260934.

$$\frac{\frac{77703}{200000000000000000000}}{260934}$$

Expresa \frac{\frac{77703}{200000000000000000000}}{260934} como unha única fracción.

$$\frac{77703}{200000000000000000000\times 260934}$$

Multiplica 200000000000000000000 e 260934 para obter 52186800000000000000000000.

$$\frac{77703}{52186800000000000000000000}$$

Reduce a fracción \frac{77703}{52186800000000000000000000} a termos máis baixos extraendo e cancelando 3.

$$\frac{25901}{17395600000000000000000000}$$

Factorizar

$$\frac{59 \cdot 439}{157 \cdot 277 \cdot 2 ^ {22} \cdot 5 ^ {20}} = 1.4889397318862243 \times 10^{-21}$$