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

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

Baholash

$$\frac{881721}{24025000000000000000000000000000}\approx 3,670014568 \cdot 10^{-26}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -31 va -9 ni qo‘shib, -40 ni oling.

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

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

3756 hosil qilish uchun 6 va 626 ni ko'paytirish.

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

-34 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000000000000000000000000000000000} ni qiymatni oling.

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

\frac{939}{2500000000000000000000000000000000} hosil qilish uchun 3756 va \frac{1}{10000000000000000000000000000000000} ni ko'paytirish.

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

2 daraja ko‘rsatkichini \frac{939}{2500000000000000000000000000000000} ga hisoblang va \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} ni qiymatni oling.

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

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} hosil qilish uchun 9 va \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} ni ko'paytirish.

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

72 hosil qilish uchun 8 va 9 ni ko'paytirish.

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

72 hosil qilish uchun 72 va 1 ni ko'paytirish.

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

-40 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000000000000000000000000000000000000000} ni qiymatni oling.

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

\frac{9}{1250000000000000000000000000000000000000} hosil qilish uchun 72 va \frac{1}{10000000000000000000000000000000000000000} ni ko'paytirish.

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

\frac{8649}{250000000000000000000000000000000000000} hosil qilish uchun \frac{9}{1250000000000000000000000000000000000000} va 4805 ni ko'paytirish.

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

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} ni \frac{8649}{250000000000000000000000000000000000000} ga bo'lish \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} ga k'paytirish \frac{8649}{250000000000000000000000000000000000000} ga qaytarish.

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

\frac{881721}{24025000000000000000000000000000} hosil qilish uchun \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} va \frac{250000000000000000000000000000000000000}{8649} ni ko'paytirish.

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

Omil

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {27} \cdot 5 ^ {29} \cdot 31 ^ {2}} = 3,6700145681581686 \times 10^{-26}$$