frac{(5^{13})(5^2)(5^15)}{(5^8)(5)(5^19)} eching

$$\frac { ( 5 ^ { 13 } ) ( 5 ^ { 2 } ) ( 5 ^ { 15 } ) } { ( 5 ^ { 8 } ) ( 5 ) ( 5 ^ { 19 } ) }$$

Baholash

$$25$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 13 va 2 ni qo‘shib, 15 ni oling.

$$\frac{5^{15}\times 5^{15}}{5^{8}\times 5\times 5^{19}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 15 va 15 ni qo‘shib, 30 ni oling.

$$\frac{5^{30}}{5^{8}\times 5\times 5^{19}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 1 ni qo‘shib, 9 ni oling.

$$\frac{5^{30}}{5^{9}\times 5^{19}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 19 ni qo‘shib, 28 ni oling.

$$\frac{5^{30}}{5^{28}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 30 dan 28 ni ayirib, 2 ni oling.

$$5^{2}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$25$$

Omil

$$5^{2}$$