frac{2^{3}*5^{4}*2^{-1}*5^{2}}{5^3*2^-2*5^3*2^4} eching

$$\frac { 2 ^ { 3 } \cdot 5 ^ { 4 } \cdot 2 ^ { - 1 } \cdot 5 ^ { 2 } } { 5 ^ { 3 } \cdot 2 ^ { - 2 } \cdot 5 ^ { 3 } \cdot 2 ^ { 4 } }$$

Baholash

$$1$$

Yechim qadamlari

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

$$\frac{2^{2}\times 5^{4}\times 5^{2}}{5^{3}\times 2^{-2}\times 5^{3}\times 2^{4}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{2^{2}\times 5^{6}}{5^{3}\times 2^{-2}\times 5^{3}\times 2^{4}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

$$\frac{2^{2}\times 5^{6}}{5^{6}\times 2^{-2}\times 2^{4}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 4 ni qo‘shib, 2 ni oling.

$$\frac{2^{2}\times 5^{6}}{5^{6}\times 2^{2}}$$

1 ni olish uchun 2^{2}\times 5^{6} ni 5^{6}\times 2^{2} ga bo‘ling.

$$1$$

Omil

$$1$$