(a^2b^frac{1{2}})^-3*(ab^frac{5{2}}) eching

$$( a ^ { 2 } b ^ { \frac { 1 } { 2 } } ) ^ { - 3 } \times ( a b ^ { \frac { 5 } { 2 } } )$$

Baholash

$$\frac{b}{a^{5}}$$

Yechim qadamlari

\left(a^{2}b^{\frac{1}{2}}\right)^{-3} ni kengaytirish.

$$\left(a^{2}\right)^{-3}\left(b^{\frac{1}{2}}\right)^{-3}ab^{\frac{5}{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -3 ni ko‘paytirib, -6 ni oling.

$$a^{-6}\left(b^{\frac{1}{2}}\right)^{-3}ab^{\frac{5}{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va -3 ni ko‘paytirib, -\frac{3}{2} ni oling.

$$a^{-6}b^{-\frac{3}{2}}ab^{\frac{5}{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va 1 ni qo‘shib, -5 ni oling.

$$a^{-5}b^{-\frac{3}{2}}b^{\frac{5}{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -\frac{3}{2} va \frac{5}{2} ni qo‘shib, 1 ni oling.

$$a^{-5}b^{1}$$

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

$$a^{-5}b$$

a ga nisbatan hosilani topish

$$-\frac{5b}{a^{6}}$$