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

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

Ratkaise muuttujan F suhteen

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

Lineaarisen yhtälön ratkaisemisen vaiheet

Jos haluat korottaa potenssin uuteen potenssiin, kerro eksponentit. Kerro -9 ja 2 keskenään saadaksesi -18.

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

Laske 910 potenssiin -9, jolloin ratkaisuksi tulee \frac{1}{427929800129788411000000000}.

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

Laske 410 potenssiin -16, jolloin ratkaisuksi tulee \frac{1}{637590309146530543464326410000000000000000}.

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

Kerro \frac{1}{427929800129788411000000000} ja \frac{1}{637590309146530543464326410000000000000000}, niin saadaan \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}.

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

Laske 610 potenssiin -16, jolloin ratkaisuksi tulee \frac{1}{367516938566374646319133929610000000000000000}.

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

Kerro \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000} ja \frac{1}{367516938566374646319133929610000000000000000}, niin saadaan \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}.

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

Laske 310 potenssiin -18, jolloin ratkaisuksi tulee \frac{1}{699053619999045038539170241000000000000000000}.

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

Jaa \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} luvulla \frac{1}{699053619999045038539170241000000000000000000} kertomalla \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} luvun \frac{1}{699053619999045038539170241000000000000000000} käänteisluvulla.

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

Kerro \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} ja 699053619999045038539170241000000000000000000, niin saadaan \frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}.

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

Määritä F

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