(3*11^{5}*132^{2}*3*7^2*11^3)3^3*7*11^2 eching

$$( 3 \times 11 ^ { 5 } \times 132 ^ { 2 } \times 3 \times 7 ^ { 2 } \times 11 ^ { 3 } ) 3 ^ { 3 } \times 7 \times 11 ^ { 2 }$$

Baholash

$$37668220815069882576$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$3^{4}\times 11^{5}\times 132^{2}\times 3\times 7^{2}\times 11^{3}\times 7\times 11^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 3 ni qo‘shib, 8 ni oling.

$$3^{4}\times 11^{8}\times 132^{2}\times 3\times 7^{2}\times 7\times 11^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 2 ni qo‘shib, 10 ni oling.

$$3^{4}\times 11^{10}\times 132^{2}\times 3\times 7^{2}\times 7$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$3^{4}\times 11^{10}\times 132^{2}\times 3\times 7^{3}$$

4 daraja ko‘rsatkichini 3 ga hisoblang va 81 ni qiymatni oling.

$$81\times 11^{10}\times 132^{2}\times 3\times 7^{3}$$

10 daraja ko‘rsatkichini 11 ga hisoblang va 25937424601 ni qiymatni oling.

$$81\times 25937424601\times 132^{2}\times 3\times 7^{3}$$

2100931392681 hosil qilish uchun 81 va 25937424601 ni ko'paytirish.

$$2100931392681\times 132^{2}\times 3\times 7^{3}$$

2 daraja ko‘rsatkichini 132 ga hisoblang va 17424 ni qiymatni oling.

$$2100931392681\times 17424\times 3\times 7^{3}$$

36606628586073744 hosil qilish uchun 2100931392681 va 17424 ni ko'paytirish.

$$36606628586073744\times 3\times 7^{3}$$

109819885758221232 hosil qilish uchun 36606628586073744 va 3 ni ko'paytirish.

$$109819885758221232\times 7^{3}$$

3 daraja ko‘rsatkichini 7 ga hisoblang va 343 ni qiymatni oling.

$$109819885758221232\times 343$$

37668220815069882576 hosil qilish uchun 109819885758221232 va 343 ni ko'paytirish.

$$37668220815069882576$$

Omil

$$2^{4}\times 3^{7}\times 7^{3}\times 11^{12}$$