(x^8y^-4/16y^frac{4{3}})^-1/4 eching

$$( \frac { x ^ { 8 } y ^ { - 4 } } { 16 y ^ { \frac { 4 } { 3 } } } ) ^ { - 1 / 4 }$$

Baholash

$$\frac{2y^{\frac{4}{3}}}{x^{2}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\left(\frac{x^{8}}{16y^{\frac{16}{3}}}\right)^{-\frac{1}{4}}$$

\frac{x^{8}}{16y^{\frac{16}{3}}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(x^{8}\right)^{-\frac{1}{4}}}{\left(16y^{\frac{16}{3}}\right)^{-\frac{1}{4}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va -\frac{1}{4} ni ko‘paytirib, -2 ni oling.

$$\frac{x^{-2}}{\left(16y^{\frac{16}{3}}\right)^{-\frac{1}{4}}}$$

\left(16y^{\frac{16}{3}}\right)^{-\frac{1}{4}} ni kengaytirish.

$$\frac{x^{-2}}{16^{-\frac{1}{4}}\left(y^{\frac{16}{3}}\right)^{-\frac{1}{4}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{16}{3} va -\frac{1}{4} ni ko‘paytirib, -\frac{4}{3} ni oling.

$$\frac{x^{-2}}{16^{-\frac{1}{4}}y^{-\frac{4}{3}}}$$

-\frac{1}{4} daraja ko‘rsatkichini 16 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$\frac{x^{-2}}{\frac{1}{2}y^{-\frac{4}{3}}}$$

x ga nisbatan hosilani topish

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