解決F=frac{910^{-9}*[410^-16]*[610^-16]}{(310^-9)^2} |Microsoft數學求解器

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

解 F

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

解線性方程式的步驟

計算某數乘冪之乘冪的方法: 將指數相乘。-9 乘 2 得到 -18。

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

計算 910 的 -9 乘冪，然後得到 \frac{1}{427929800129788411000000000}。

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

計算 410 的 -16 乘冪，然後得到 \frac{1}{637590309146530543464326410000000000000000}。

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

將 \frac{1}{427929800129788411000000000} 乘上 \frac{1}{637590309146530543464326410000000000000000} 得到 \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}。

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

計算 610 的 -16 乘冪，然後得到 \frac{1}{367516938566374646319133929610000000000000000}。

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

將 \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000} 乘上 \frac{1}{367516938566374646319133929610000000000000000} 得到 \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}。

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

計算 310 的 -18 乘冪，然後得到 \frac{1}{699053619999045038539170241000000000000000000}。

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

\frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} 除以 \frac{1}{699053619999045038539170241000000000000000000} 的算法是將 \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} 乘以 \frac{1}{699053619999045038539170241000000000000000000} 的倒數。

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

將 \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} 乘上 699053619999045038539170241000000000000000000 得到 \frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}。

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

指定 F

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