(2x^4y^frac{-4{5}})(8y^2)^frac{2{3}} eching

$$( 2 x ^ { 4 } y ^ { \frac { - 4 } { 5 } } ) ( 8 y ^ { 2 } ) ^ { \frac { 2 } { 3 } }$$

Baholash

$$8y^{\frac{8}{15}}x^{4}$$

Yechim qadamlari

\frac{-4}{5} kasri manfiy belgini olib tashlash bilan -\frac{4}{5} sifatida qayta yozilishi mumkin.

$$2x^{4}y^{-\frac{4}{5}}\times \left(8y^{2}\right)^{\frac{2}{3}}$$

\left(8y^{2}\right)^{\frac{2}{3}} ni kengaytirish.

$$2x^{4}y^{-\frac{4}{5}}\times 8^{\frac{2}{3}}\left(y^{2}\right)^{\frac{2}{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va \frac{2}{3} ni ko‘paytirib, \frac{4}{3} ni oling.

$$2x^{4}y^{-\frac{4}{5}}\times 8^{\frac{2}{3}}y^{\frac{4}{3}}$$

\frac{2}{3} daraja ko‘rsatkichini 8 ga hisoblang va 4 ni qiymatni oling.

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

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$8x^{4}y^{-\frac{4}{5}}y^{\frac{4}{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -\frac{4}{5} va \frac{4}{3} ni qo‘shib, \frac{8}{15} ni oling.

$$8x^{4}y^{\frac{8}{15}}$$

x ga nisbatan hosilani topish

$$32y^{\frac{8}{15}}x^{3}$$