347*10^22div667*10^-11div6*10^24*15*10^11*15*{10}^11 eching

$$347 \times { 10 }^{ 22 } \div 667 \times { 10 }^{ -11 } \div 6 \times { 10 }^{ 24 } \times 15 \times { 10 }^{ 11 } \times 15 \times { 10 }^{ 11 }$$

Baholash

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1,95089955 \cdot 10^{58}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 24 va 11 ni qo‘shib, 35 ni oling.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{35}\times 15\times 15\times 10^{11}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 35 va 11 ni qo‘shib, 46 ni oling.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

22 daraja ko‘rsatkichini 10 ga hisoblang va 10000000000000000000000 ni qiymatni oling.

$$\frac{\frac{347\times 10000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

3470000000000000000000000 hosil qilish uchun 347 va 10000000000000000000000 ni ko'paytirish.

$$\frac{\frac{3470000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

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

$$\frac{\frac{3470000000000000000000000}{667}\times \frac{1}{100000000000}}{6}\times 10^{46}\times 15\times 15$$

\frac{34700000000000}{667} hosil qilish uchun \frac{3470000000000000000000000}{667} va \frac{1}{100000000000} ni ko'paytirish.

$$\frac{\frac{34700000000000}{667}}{6}\times 10^{46}\times 15\times 15$$

\frac{\frac{34700000000000}{667}}{6} ni yagona kasrga aylantiring.

$$\frac{34700000000000}{667\times 6}\times 10^{46}\times 15\times 15$$

4002 hosil qilish uchun 667 va 6 ni ko'paytirish.

$$\frac{34700000000000}{4002}\times 10^{46}\times 15\times 15$$

\frac{34700000000000}{4002} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{17350000000000}{2001}\times 10^{46}\times 15\times 15$$

46 daraja ko‘rsatkichini 10 ga hisoblang va 10000000000000000000000000000000000000000000000 ni qiymatni oling.

$$\frac{17350000000000}{2001}\times 10000000000000000000000000000000000000000000000\times 15\times 15$$

\frac{173500000000000000000000000000000000000000000000000000000000}{2001} hosil qilish uchun \frac{17350000000000}{2001} va 10000000000000000000000000000000000000000000000 ni ko'paytirish.

$$\frac{173500000000000000000000000000000000000000000000000000000000}{2001}\times 15\times 15$$

\frac{867500000000000000000000000000000000000000000000000000000000}{667} hosil qilish uchun \frac{173500000000000000000000000000000000000000000000000000000000}{2001} va 15 ni ko'paytirish.

$$\frac{867500000000000000000000000000000000000000000000000000000000}{667}\times 15$$

\frac{13012500000000000000000000000000000000000000000000000000000000}{667} hosil qilish uchun \frac{867500000000000000000000000000000000000000000000000000000000}{667} va 15 ni ko'paytirish.

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}$$

Omil

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1,950899550224888 \times 10^{58}\frac{535}{667} = 1,950899550224888 \times 10^{58}$$