4*1/14^71000/frac{1000{41}+41182/147} eching

$$\frac{ 4 \cdot 1 }{ { 14 }^{ 7 } } \frac{ 1000 }{ \frac{ 1000 }{ 41 } +41 \frac{ 182 }{ 147 } }$$

Baholash

$$\frac{15375}{26996680732}\approx 0,00000057$$

Yechim qadamlari

4 hosil qilish uchun 4 va 1 ni ko'paytirish.

$$\frac{4}{14^{7}}\times \frac{1000}{\frac{1000}{41}+\frac{41\times 147+182}{147}}$$

7 daraja ko‘rsatkichini 14 ga hisoblang va 105413504 ni qiymatni oling.

$$\frac{4}{105413504}\times \frac{1000}{\frac{1000}{41}+\frac{41\times 147+182}{147}}$$

\frac{4}{105413504} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{41\times 147+182}{147}}$$

6027 hosil qilish uchun 41 va 147 ni ko'paytirish.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{6027+182}{147}}$$

6209 olish uchun 6027 va 182'ni qo'shing.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{6209}{147}}$$

\frac{6209}{147} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{887}{21}}$$

41 va 21 ning eng kichik umumiy karralisi 861 ga teng. \frac{1000}{41} va \frac{887}{21} ni 861 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{26353376}\times \frac{1000}{\frac{21000}{861}+\frac{36367}{861}}$$

\frac{21000}{861} va \frac{36367}{861} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{26353376}\times \frac{1000}{\frac{21000+36367}{861}}$$

57367 olish uchun 21000 va 36367'ni qo'shing.

$$\frac{1}{26353376}\times \frac{1000}{\frac{57367}{861}}$$

1000 ni \frac{57367}{861} ga bo'lish 1000 ga k'paytirish \frac{57367}{861} ga qaytarish.

$$\frac{1}{26353376}\times 1000\times \frac{861}{57367}$$

1000\times \frac{861}{57367} ni yagona kasrga aylantiring.

$$\frac{1}{26353376}\times \frac{1000\times 861}{57367}$$

861000 hosil qilish uchun 1000 va 861 ni ko'paytirish.

$$\frac{1}{26353376}\times \frac{861000}{57367}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{26353376} ni \frac{861000}{57367} ga ko‘paytiring.

$$\frac{1\times 861000}{26353376\times 57367}$$

\frac{1\times 861000}{26353376\times 57367} kasridagi ko‘paytirishlarni bajaring.

$$\frac{861000}{1511814120992}$$

\frac{861000}{1511814120992} ulushini 56 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15375}{26996680732}$$

Omil

$$\frac{3 \cdot 5 ^ {3} \cdot 41}{2 ^ {2} \cdot 7 ^ {6} \cdot 57367} = 5,695144581895039 \times 10^{-7}$$