frac{3^{2}*(6*626*10^-34)^2}{8*9*1*10^-31*(4805*10^-9)} хәл итегез

$$\frac { 3 ^ { 2 } \times ( 6 \cdot 626 \times 10 ^ { - 34 } ) ^ { 2 } } { 8 \times 9 \cdot 1 \times 10 ^ { - 31 } \times ( 4805 \times 10 ^ { - 9 } ) }$$

Исәпләгез

$$\frac{881721}{24025000000000000000000000000000}\approx 3.670014568 \cdot 10^{-26}$$

Чишү адымнары

Шул ук базаның куәтләрен тапкырлау өчен, аларның экспоненталарын өстәгез. -40 алу өчен, -31 һәм -9 өстәгез.

$$\frac{3^{2}\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

2'ның куәтен 3 исәпләгез һәм 9 алыгыз.

$$\frac{9\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

3756 алу өчен, 6 һәм 626 тапкырлагыз.

$$\frac{9\times \left(3756\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

-34'ның куәтен 10 исәпләгез һәм \frac{1}{10000000000000000000000000000000000} алыгыз.

$$\frac{9\times \left(3756\times \frac{1}{10000000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

\frac{939}{2500000000000000000000000000000000} алу өчен, 3756 һәм \frac{1}{10000000000000000000000000000000000} тапкырлагыз.

$$\frac{9\times \left(\frac{939}{2500000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

2'ның куәтен \frac{939}{2500000000000000000000000000000000} исәпләгез һәм \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} алыгыз.

$$\frac{9\times \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} алу өчен, 9 һәм \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} тапкырлагыз.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

72 алу өчен, 8 һәм 9 тапкырлагыз.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 1\times 10^{-40}\times 4805}$$

72 алу өчен, 72 һәм 1 тапкырлагыз.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 10^{-40}\times 4805}$$

-40'ның куәтен 10 исәпләгез һәм \frac{1}{10000000000000000000000000000000000000000} алыгыз.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times \frac{1}{10000000000000000000000000000000000000000}\times 4805}$$

\frac{9}{1250000000000000000000000000000000000000} алу өчен, 72 һәм \frac{1}{10000000000000000000000000000000000000000} тапкырлагыз.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{9}{1250000000000000000000000000000000000000}\times 4805}$$

\frac{8649}{250000000000000000000000000000000000000} алу өчен, \frac{9}{1250000000000000000000000000000000000000} һәм 4805 тапкырлагыз.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{8649}{250000000000000000000000000000000000000}}$$

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}'ны \frac{8649}{250000000000000000000000000000000000000}'ның кире зурлыгына тапкырлап, \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}'ны \frac{8649}{250000000000000000000000000000000000000}'га бүлегез.

$$\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}\times \frac{250000000000000000000000000000000000000}{8649}$$

\frac{881721}{24025000000000000000000000000000} алу өчен, \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} һәм \frac{250000000000000000000000000000000000000}{8649} тапкырлагыз.

$$\frac{881721}{24025000000000000000000000000000}$$

Тапкырлаучы

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {27} \cdot 5 ^ {29} \cdot 31 ^ {2}} = 3.6700145681581686 \times 10^{-26}$$