667*10^-11190*10^27*(108*10^23)/(19*10^6)*(19*{10^6)} eching

$$667 \times { 10 }^{ -11 } \frac{ 190 \times { 10 }^{ 27 } \times (108 \times { 10 }^{ 23 } ) }{ (19 \times { 10 }^{ 6 } ) \times (19 \times { 10 }^{ 6 } ) }$$

Baholash

$$\frac{720360000000000000000000000000000}{19}\approx 3,791368421 \cdot 10^{31}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 27 va 23 ni qo‘shib, 50 ni oling.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{6}\times 19\times 10^{6}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 6 ni qo‘shib, 12 ni oling.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

-11 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000000} ni qiymatni oling.

$$667\times \frac{1}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

\frac{667}{100000000000} hosil qilish uchun 667 va \frac{1}{100000000000} ni ko'paytirish.

$$\frac{667}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Surat va maxrajdagi ikkala 10\times 19\times 10^{11} ni qisqartiring.

$$\frac{667}{100000000000}\times \frac{108\times 10^{39}}{19}$$

39 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000000000000000000000000000000000 ni qiymatni oling.

$$\frac{667}{100000000000}\times \frac{108\times 1000000000000000000000000000000000000000}{19}$$

108000000000000000000000000000000000000000 hosil qilish uchun 108 va 1000000000000000000000000000000000000000 ni ko'paytirish.

$$\frac{667}{100000000000}\times \frac{108000000000000000000000000000000000000000}{19}$$

\frac{720360000000000000000000000000000}{19} hosil qilish uchun \frac{667}{100000000000} va \frac{108000000000000000000000000000000000000000}{19} ni ko'paytirish.

$$\frac{720360000000000000000000000000000}{19}$$

Omil

$$\frac{2 ^ {30} \cdot 3 ^ {3} \cdot 5 ^ {28} \cdot 23 \cdot 29}{19} = 3,7913684210526317 \times 10^{31}\frac{6}{19} = 3,7913684210526317 \times 10^{31}$$