frac{9*10^{9}*(16*10^{-19})^2}{667*10^11*91*10^-31*166*10^-27} eching

$$\frac { 9 \times 10 ^ { 9 } \times ( 16 \times 10 ^ { - 19 } ) ^ { 2 } } { 667 \times 10 ^ { 11 } \times 91 \times 10 ^ { - 31 } \times 166 \times 10 ^ { - 27 } }$$

Baholash

$$\frac{1152000000000000000000}{5037851}\approx 2,286689305 \cdot 10^{14}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 11 va -31 ni qo‘shib, -20 ni oling.

$$\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-20}\times 91\times 166\times 10^{-27}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -20 va -27 ni qo‘shib, -47 ni oling.

$$\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-47}\times 91\times 166}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{9\times 10^{56}\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

56 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000000000000000000000000000000000000000000000000 ni qiymatni oling.

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

900000000000000000000000000000000000000000000000000000000 hosil qilish uchun 9 va 100000000000000000000000000000000000000000000000000000000 ni ko'paytirish.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

-19 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000000000000000000} ni qiymatni oling.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{91\times 166\times 667}$$

\frac{1}{625000000000000000} hosil qilish uchun 16 va \frac{1}{10000000000000000000} ni ko'paytirish.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{91\times 166\times 667}$$

2 daraja ko‘rsatkichini \frac{1}{625000000000000000} ga hisoblang va \frac{1}{390625000000000000000000000000000000} ni qiymatni oling.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{91\times 166\times 667}$$

2304000000000000000000 hosil qilish uchun 900000000000000000000000000000000000000000000000000000000 va \frac{1}{390625000000000000000000000000000000} ni ko'paytirish.

$$\frac{2304000000000000000000}{91\times 166\times 667}$$

15106 hosil qilish uchun 91 va 166 ni ko'paytirish.

$$\frac{2304000000000000000000}{15106\times 667}$$

10075702 hosil qilish uchun 15106 va 667 ni ko'paytirish.

$$\frac{2304000000000000000000}{10075702}$$

\frac{2304000000000000000000}{10075702} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1152000000000000000000}{5037851}$$

Omil

$$\frac{2 ^ {25} \cdot 3 ^ {2} \cdot 5 ^ {18}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 228668930462611\frac{4711039}{5037851} = 228668930462611,94$$