(-x^9y^10)^frac{1{3}} eching

$$( - x ^ { 9 } y ^ { 10 } ) ^ { \frac { 1 } { 3 } }$$

Baholash

$$-x^{3}y^{\frac{10}{3}}$$

Yechim qadamlari

\left(\left(-x^{9}\right)y^{10}\right)^{\frac{1}{3}} ni kengaytirish.

$$\left(-x^{9}\right)^{\frac{1}{3}}\left(y^{10}\right)^{\frac{1}{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 10 va \frac{1}{3} ni ko‘paytirib, \frac{10}{3} ni oling.

$$\left(-x^{9}\right)^{\frac{1}{3}}y^{\frac{10}{3}}$$

\left(-x^{9}\right)^{\frac{1}{3}} ni kengaytirish.

$$\left(-1\right)^{\frac{1}{3}}\left(x^{9}\right)^{\frac{1}{3}}y^{\frac{10}{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 9 va \frac{1}{3} ni ko‘paytirib, 3 ni oling.

$$\left(-1\right)^{\frac{1}{3}}x^{3}y^{\frac{10}{3}}$$

\frac{1}{3} daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$-x^{3}y^{\frac{10}{3}}$$

x ga nisbatan hosilani topish

$$-3x^{2}y^{\frac{10}{3}}$$