Résoudre 667*10^-11*100*712*10^-18/(100+64*10^-43)

$$\frac { 667 \times 10 ^ { - 11 } \times 100 \times 712 \times 10 ^ { - 18 } } { ( 100 + 64 \times 10 ^ { - 43 } ) }$$

Évaluer

$$\frac{74203750000000000000}{15625000000000000000000000000000000000000001}\approx 4,74904 \cdot 10^{-24}$$

Étapes de la solution

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez -11 et -18 pour obtenir -29.

$$\frac{667\times 10^{-29}\times 100\times 712}{100+64\times 10^{-43}}$$

Calculer 10 à la puissance -29 et obtenir \frac{1}{100000000000000000000000000000}.

$$\frac{667\times \frac{1}{100000000000000000000000000000}\times 100\times 712}{100+64\times 10^{-43}}$$

Multiplier 667 et \frac{1}{100000000000000000000000000000} pour obtenir \frac{667}{100000000000000000000000000000}.

$$\frac{\frac{667}{100000000000000000000000000000}\times 100\times 712}{100+64\times 10^{-43}}$$

Multiplier \frac{667}{100000000000000000000000000000} et 100 pour obtenir \frac{667}{1000000000000000000000000000}.

$$\frac{\frac{667}{1000000000000000000000000000}\times 712}{100+64\times 10^{-43}}$$

Multiplier \frac{667}{1000000000000000000000000000} et 712 pour obtenir \frac{59363}{125000000000000000000000000}.

$$\frac{\frac{59363}{125000000000000000000000000}}{100+64\times 10^{-43}}$$

Calculer 10 à la puissance -43 et obtenir \frac{1}{10000000000000000000000000000000000000000000}.

$$\frac{\frac{59363}{125000000000000000000000000}}{100+64\times \frac{1}{10000000000000000000000000000000000000000000}}$$

Multiplier 64 et \frac{1}{10000000000000000000000000000000000000000000} pour obtenir \frac{1}{156250000000000000000000000000000000000000}.

$$\frac{\frac{59363}{125000000000000000000000000}}{100+\frac{1}{156250000000000000000000000000000000000000}}$$

Additionner 100 et \frac{1}{156250000000000000000000000000000000000000} pour obtenir \frac{15625000000000000000000000000000000000000001}{156250000000000000000000000000000000000000}.

$$\frac{\frac{59363}{125000000000000000000000000}}{\frac{15625000000000000000000000000000000000000001}{156250000000000000000000000000000000000000}}$$

Diviser \frac{59363}{125000000000000000000000000} par \frac{15625000000000000000000000000000000000000001}{156250000000000000000000000000000000000000} en multipliant \frac{59363}{125000000000000000000000000} par la réciproque de \frac{15625000000000000000000000000000000000000001}{156250000000000000000000000000000000000000}.

$$\frac{59363}{125000000000000000000000000}\times \frac{156250000000000000000000000000000000000000}{15625000000000000000000000000000000000000001}$$

Multiplier \frac{59363}{125000000000000000000000000} et \frac{156250000000000000000000000000000000000000}{15625000000000000000000000000000000000000001} pour obtenir \frac{74203750000000000000}{15625000000000000000000000000000000000000001}.

$$\frac{74203750000000000000}{15625000000000000000000000000000000000000001}$$