126*1000*8*314*10^3*300/257*10^-3*200 eching

$$\frac { 126 \times 1000 \times 8 \cdot 314 \times 10 ^ { 3 } \times 300 } { 257 \times 10 ^ { - 3 } \times 200 }$$

Baholash

$$\frac{474768000000000}{257}\approx 1,847346304 \cdot 10^{12}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2\times 100 ni qisqartiring.

$$\frac{8\times 10\times 63\times 300\times 314\times 10^{3}}{257\times 10^{-3}}$$

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

$$\frac{8\times 63\times 300\times 314\times 10^{3}\times 10^{4}}{257}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\frac{8\times 63\times 300\times 314\times 10^{7}}{257}$$

504 hosil qilish uchun 8 va 63 ni ko'paytirish.

$$\frac{504\times 300\times 314\times 10^{7}}{257}$$

151200 hosil qilish uchun 504 va 300 ni ko'paytirish.

$$\frac{151200\times 314\times 10^{7}}{257}$$

47476800 hosil qilish uchun 151200 va 314 ni ko'paytirish.

$$\frac{47476800\times 10^{7}}{257}$$

7 daraja ko‘rsatkichini 10 ga hisoblang va 10000000 ni qiymatni oling.

$$\frac{47476800\times 10000000}{257}$$

474768000000000 hosil qilish uchun 47476800 va 10000000 ni ko'paytirish.

$$\frac{474768000000000}{257}$$

Omil

$$\frac{2 ^ {13} \cdot 3 ^ {3} \cdot 5 ^ {9} \cdot 7 \cdot 157}{257} = 1847346303501\frac{243}{257} = 1847346303501,9456$$