(frac{x^{-5}y^3z^10}{y^frac{2{3}}})^frac{-3{5}} eching

$$( \frac { x ^ { - 5 } y ^ { 3 } z ^ { 10 } } { y ^ { \frac { 2 } { 3 } } } ) ^ { \frac { - 3 } { 5 } }$$

Baholash

$$\frac{x^{3}}{y^{\frac{7}{5}}z^{6}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala y^{\frac{2}{3}} ni qisqartiring.

$$\left(x^{-5}y^{\frac{7}{3}}z^{10}\right)^{\frac{-3}{5}}$$

\frac{-3}{5} kasri manfiy belgini olib tashlash bilan -\frac{3}{5} sifatida qayta yozilishi mumkin.

$$\left(x^{-5}y^{\frac{7}{3}}z^{10}\right)^{-\frac{3}{5}}$$

\left(x^{-5}y^{\frac{7}{3}}z^{10}\right)^{-\frac{3}{5}} ni kengaytirish.

$$\left(x^{-5}\right)^{-\frac{3}{5}}\left(y^{\frac{7}{3}}\right)^{-\frac{3}{5}}\left(z^{10}\right)^{-\frac{3}{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -5 va -\frac{3}{5} ni ko‘paytirib, 3 ni oling.

$$x^{3}\left(y^{\frac{7}{3}}\right)^{-\frac{3}{5}}\left(z^{10}\right)^{-\frac{3}{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{7}{3} va -\frac{3}{5} ni ko‘paytirib, -\frac{7}{5} ni oling.

$$x^{3}y^{-\frac{7}{5}}\left(z^{10}\right)^{-\frac{3}{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 10 va -\frac{3}{5} ni ko‘paytirib, -6 ni oling.

$$x^{3}y^{-\frac{7}{5}}z^{-6}$$

x ga nisbatan hosilani topish

$$\frac{3x^{2}}{y^{\frac{7}{5}}z^{6}}$$