578*10^-9/846*10^25*16*10^-19 eching

$$\frac{ 578 \times { 10 }^{ -9 } }{ 846 \times { 10 }^{ 25 } \times 16 \times { 10 }^{ -19 } }$$

Baholash

$$\frac{289}{6768000000000000000}\approx 4,270094563 \cdot 10^{-17}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 25 va -19 ni qo‘shib, 6 ni oling.

$$\frac{578\times 10^{-9}}{846\times 10^{6}\times 16}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{289\times 10^{-9}}{16\times 423\times 10^{6}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{289}{16\times 423\times 10^{15}}$$

6768 hosil qilish uchun 16 va 423 ni ko'paytirish.

$$\frac{289}{6768\times 10^{15}}$$

15 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000000000 ni qiymatni oling.

$$\frac{289}{6768\times 1000000000000000}$$

6768000000000000000 hosil qilish uchun 6768 va 1000000000000000 ni ko'paytirish.

$$\frac{289}{6768000000000000000}$$

Omil

$$\frac{17 ^ {2}}{2 ^ {19} \cdot 3 ^ {2} \cdot 5 ^ {15} \cdot 47} = 4,2700945626477536 \times 10^{-17}$$