1+1/(x^2y^4)^1/3 eching

$$\frac { 1 + 1 } { ( x ^ { 2 } y ^ { 4 } ) ^ { 1 / 3 } }$$

Baholash

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

Yechim qadamlari

2 olish uchun 1 va 1'ni qo'shing.

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

\left(x^{2}y^{4}\right)^{\frac{1}{3}} ni kengaytirish.

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

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

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

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

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

x ga nisbatan hosilani topish

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