Résoudre F=frac{910^{-9}*[410^-16]*[610^-16]}{(310^-9)^2}

$$F = \frac { 910 ^ { - 9 } \cdot [ 410 ^ { - 16 } ] \cdot [ 610 ^ { - 16 } ] } { ( 310 ^ { - 9 } ) ^ { 2 } }$$

Calculer F

$$F=\frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}\approx 6,971382156 \cdot 10^{-69}$$

Étapes de calcul des équations linéaires

Pour élever une puissance à une autre puissance, multipliez les exposants. Multipliez -9 par 2 pour obtenir -18.

$$F=\frac{910^{-9}\times 410^{-16}\times 610^{-16}}{310^{-18}}$$

Calculer 910 à la puissance -9 et obtenir \frac{1}{427929800129788411000000000}.

$$F=\frac{\frac{1}{427929800129788411000000000}\times 410^{-16}\times 610^{-16}}{310^{-18}}$$

Calculer 410 à la puissance -16 et obtenir \frac{1}{637590309146530543464326410000000000000000}.

$$F=\frac{\frac{1}{427929800129788411000000000}\times \frac{1}{637590309146530543464326410000000000000000}\times 610^{-16}}{310^{-18}}$$

Multiplier \frac{1}{427929800129788411000000000} et \frac{1}{637590309146530543464326410000000000000000} pour obtenir \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}.

$$F=\frac{\frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}\times 610^{-16}}{310^{-18}}$$

Calculer 610 à la puissance -16 et obtenir \frac{1}{367516938566374646319133929610000000000000000}.

$$F=\frac{\frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}\times \frac{1}{367516938566374646319133929610000000000000000}}{310^{-18}}$$

Multiplier \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000} et \frac{1}{367516938566374646319133929610000000000000000} pour obtenir \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}.

$$F=\frac{\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}}{310^{-18}}$$

Calculer 310 à la puissance -18 et obtenir \frac{1}{699053619999045038539170241000000000000000000}.

$$F=\frac{\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}}{\frac{1}{699053619999045038539170241000000000000000000}}$$

Diviser \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} par \frac{1}{699053619999045038539170241000000000000000000} en multipliant \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} par la réciproque de \frac{1}{699053619999045038539170241000000000000000000}.

$$F=\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}\times 699053619999045038539170241000000000000000000$$

Multiplier \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} et 699053619999045038539170241000000000000000000 pour obtenir \frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}.

$$F=\frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}$$

Attribuer F

$$F≔\frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}$$