667*10^-14*74*10^12/(1740*10^11)^2 eching

$$\frac { 667 \times 10 ^ { - 14 } \times 74 \times 10 ^ { 12 } } { ( 1740 \times 10 ^ { 11 } ) ^ { 2 } }$$

Baholash

$$\frac{851}{52200000000000000000000000000}\approx 1,630268199 \cdot 10^{-26}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -14 va 12 ni qo‘shib, -2 ni oling.

$$\frac{667\times 10^{-2}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

-2 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100} ni qiymatni oling.

$$\frac{667\times \frac{1}{100}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

\frac{667}{100} hosil qilish uchun 667 va \frac{1}{100} ni ko'paytirish.

$$\frac{\frac{667}{100}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

\frac{24679}{50} hosil qilish uchun \frac{667}{100} va 74 ni ko'paytirish.

$$\frac{\frac{24679}{50}}{\left(1740\times 10^{11}\right)^{2}}$$

11 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000 ni qiymatni oling.

$$\frac{\frac{24679}{50}}{\left(1740\times 100000000000\right)^{2}}$$

174000000000000 hosil qilish uchun 1740 va 100000000000 ni ko'paytirish.

$$\frac{\frac{24679}{50}}{174000000000000^{2}}$$

2 daraja ko‘rsatkichini 174000000000000 ga hisoblang va 30276000000000000000000000000 ni qiymatni oling.

$$\frac{\frac{24679}{50}}{30276000000000000000000000000}$$

\frac{\frac{24679}{50}}{30276000000000000000000000000} ni yagona kasrga aylantiring.

$$\frac{24679}{50\times 30276000000000000000000000000}$$

1513800000000000000000000000000 hosil qilish uchun 50 va 30276000000000000000000000000 ni ko'paytirish.

$$\frac{24679}{1513800000000000000000000000000}$$

\frac{24679}{1513800000000000000000000000000} ulushini 29 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{851}{52200000000000000000000000000}$$

Omil

$$\frac{23 \cdot 37}{2 ^ {27} \cdot 3 ^ {2} \cdot 5 ^ {26} \cdot 29} = 1,6302681992337162 \times 10^{-26}$$