(x^frac{3{4}}y^frac{2{3}}z^frac{1{2}})^12 eching

$$( x ^ { \frac { 3 } { 4 } } y ^ { \frac { 2 } { 3 } } z ^ { \frac { 1 } { 2 } } ) ^ { 12 }$$

Baholash

$$z^{6}y^{8}x^{9}$$

Yechim qadamlari

\left(x^{\frac{3}{4}}y^{\frac{2}{3}}z^{\frac{1}{2}}\right)^{12} ni kengaytirish.

$$\left(x^{\frac{3}{4}}\right)^{12}\left(y^{\frac{2}{3}}\right)^{12}\left(z^{\frac{1}{2}}\right)^{12}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{3}{4} va 12 ni ko‘paytirib, 9 ni oling.

$$x^{9}\left(y^{\frac{2}{3}}\right)^{12}\left(z^{\frac{1}{2}}\right)^{12}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{2}{3} va 12 ni ko‘paytirib, 8 ni oling.

$$x^{9}y^{8}\left(z^{\frac{1}{2}}\right)^{12}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va 12 ni ko‘paytirib, 6 ni oling.

$$x^{9}y^{8}z^{6}$$

Kengaytirish

$$z^{6}y^{8}x^{9}$$

Yechim qadamlari

\left(x^{\frac{3}{4}}y^{\frac{2}{3}}z^{\frac{1}{2}}\right)^{12} ni kengaytirish.

$$\left(x^{\frac{3}{4}}\right)^{12}\left(y^{\frac{2}{3}}\right)^{12}\left(z^{\frac{1}{2}}\right)^{12}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{3}{4} va 12 ni ko‘paytirib, 9 ni oling.

$$x^{9}\left(y^{\frac{2}{3}}\right)^{12}\left(z^{\frac{1}{2}}\right)^{12}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{2}{3} va 12 ni ko‘paytirib, 8 ni oling.

$$x^{9}y^{8}\left(z^{\frac{1}{2}}\right)^{12}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va 12 ni ko‘paytirib, 6 ni oling.

$$x^{9}y^{8}z^{6}$$