frac{3a^{-2}b*24b^-1a^-1}{9a^-4b^-3} eching

$$\frac { 3 a ^ { - 2 } b \times 24 b ^ { - 1 } a ^ { - 1 } } { 9 a ^ { - 4 } b ^ { - 3 } }$$

Baholash

$$8ab^{3}$$

Yechim qadamlari

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

$$\frac{3a^{-3}b\times 24b^{-1}}{9a^{-4}b^{-3}}$$

1 hosil qilish uchun b va b^{-1} ni ko'paytirish.

$$\frac{3a^{-3}\times 24}{9a^{-4}b^{-3}}$$

Surat va maxrajdagi ikkala 3\times 3 ni qisqartiring.

$$\frac{8a^{-3}}{a^{-4}b^{-3}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{8a^{1}}{b^{-3}}$$

1 daraja ko‘rsatkichini a ga hisoblang va a ni qiymatni oling.

$$\frac{8a}{b^{-3}}$$

b ga nisbatan hosilani topish

$$24ab^{2}$$