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

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

求解 F 的值

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

求解线性方程的步骤

要对幂进行幂运算，即将指数相乘。-9 乘 2 得 -18。

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

计算 -9 的 910 乘方，得到 \frac{1}{427929800129788411000000000}。

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

计算 -16 的 410 乘方，得到 \frac{1}{637590309146530543464326410000000000000000}。

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

将 \frac{1}{427929800129788411000000000} 与 \frac{1}{637590309146530543464326410000000000000000} 相乘，得到 \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}。

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

计算 -16 的 610 乘方，得到 \frac{1}{367516938566374646319133929610000000000000000}。

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

将 \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000} 与 \frac{1}{367516938566374646319133929610000000000000000} 相乘，得到 \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}。

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

计算 -18 的 310 乘方，得到 \frac{1}{699053619999045038539170241000000000000000000}。

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

\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} 除以 \frac{1}{699053619999045038539170241000000000000000000} 的计算方法是用 \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} 乘以 \frac{1}{699053619999045038539170241000000000000000000} 的倒数。

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

将 \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} 与 699053619999045038539170241000000000000000000 相乘，得到 \frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}。

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

赋予值 F

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