frac{(3^{2}*3^5)^6}{(3*3^7)^5} eching

$$\frac { ( 3 ^ { 2 } \cdot 3 ^ { 5 } ) ^ { 6 } } { ( 3 \cdot 3 ^ { 7 } ) ^ { 5 } }$$

Baholash

$$9$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$\frac{\left(3^{7}\right)^{6}}{\left(3\times 3^{7}\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 6 ni ko‘paytirib, 42 ni oling.

$$\frac{3^{42}}{\left(3\times 3^{7}\right)^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 7 ni qo‘shib, 8 ni oling.

$$\frac{3^{42}}{\left(3^{8}\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 5 ni ko‘paytirib, 40 ni oling.

$$\frac{3^{42}}{3^{40}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 42 dan 40 ni ayirib, 2 ni oling.

$$3^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9$$

Omil

$$3^{2}$$