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

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

פתור עבור F

$$F=\frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}\approx 6.971382156 \cdot 10^{-69}$$

שלבים לפתרון משוואה ליניארית

כדי להעלות חזקה בחזקה אחרת, הכפל את המעריכים. הכפל את ‎-9 ו- 2‎ כדי לקבל ‎-18.

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

חשב את 910 בחזקת -9 וקבל \frac{1}{427929800129788411000000000}.

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

חשב את 410 בחזקת -16 וקבל \frac{1}{637590309146530543464326410000000000000000}.

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

הכפל את ‎\frac{1}{427929800129788411000000000} ו- ‎\frac{1}{637590309146530543464326410000000000000000} כדי לקבל ‎\frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}.

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

חשב את 610 בחזקת -16 וקבל \frac{1}{367516938566374646319133929610000000000000000}.

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

הכפל את ‎\frac{1}{272843893557764819251707473165219359939234510000000000000000000000000} ו- ‎\frac{1}{367516938566374646319133929610000000000000000} כדי לקבל ‎\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}.

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

חשב את 310 בחזקת -18 וקבל \frac{1}{699053619999045038539170241000000000000000000}.

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

חלק את ‎\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} ב- ‎\frac{1}{699053619999045038539170241000000000000000000} על-ידי הכפלת ‎\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} בהופכי של ‎\frac{1}{699053619999045038539170241000000000000000000}.

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

הכפל את ‎\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} ו- ‎699053619999045038539170241000000000000000000 כדי לקבל ‎\frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}.

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

הקצה את ‎F

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