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

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

Cari nilai F

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

Langkah Penyelesaian Persamaan Linear

Untuk meningkatkan himpunan pangkat suatu bilangan ke himpunan pangkat lainnya, kalikan pangkatnya. Kalikan -9 dan 2 agar menghasilkan -18.

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

Hitung 910 sampai pangkat -9 dan dapatkan \frac{1}{427929800129788411000000000}.

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

Hitung 410 sampai pangkat -16 dan dapatkan \frac{1}{637590309146530543464326410000000000000000}.

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

Kalikan \frac{1}{427929800129788411000000000} dan \frac{1}{637590309146530543464326410000000000000000} untuk mendapatkan \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000}.

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

Hitung 610 sampai pangkat -16 dan dapatkan \frac{1}{367516938566374646319133929610000000000000000}.

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

Kalikan \frac{1}{272843893557764819251707473165219359939234510000000000000000000000000} dan \frac{1}{367516938566374646319133929610000000000000000} untuk mendapatkan \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000}.

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

Hitung 310 sampai pangkat -18 dan dapatkan \frac{1}{699053619999045038539170241000000000000000000}.

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

Bagi \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} dengan \frac{1}{699053619999045038539170241000000000000000000} dengan mengalikan \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} sesuai dengan resiprokal dari \frac{1}{699053619999045038539170241000000000000000000}.

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

Kalikan \frac{1}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000000000000000000000} dan 699053619999045038539170241000000000000000000 untuk mendapatkan \frac{699053619999045038539170241}{100274752466879516209625455785520442568701733290480986227290379991622841100000000000000000000000}.

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

Tetapkan F

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