{left(frac{3{x}^{5/3}{y}^{3/4}{z}^{3/2}}{4{x}^frac{2{3}}{y}^frac{1{4}}{z}^frac{5{2}}}right)}^2 eching

$${ \left( \frac{ 3 { x }^{ \frac{ 5 }{ 3 } } { y }^{ \frac{ 3 }{ 4 } } { z }^{ \frac{ 3 }{ 2 } } }{ 4 { x }^{ \frac{ 2 }{ 3 } } { y }^{ \frac{ 1 }{ 4 } } { z }^{ \frac{ 5 }{ 2 } } } \right) }^{ 2 }$$

Baholash

$$\frac{9\times \left(\frac{x}{z}\right)^{2}y}{16}$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala \sqrt[4]{y}x^{\frac{2}{3}}z^{\frac{3}{2}} ni qisqartiring.

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

\frac{3\sqrt{y}x}{4z}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\left(3\sqrt{y}x\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{9\left(\sqrt{y}\right)^{2}x^{2}}{\left(4z\right)^{2}}$$

2 daraja ko‘rsatkichini \sqrt{y} ga hisoblang va y ni qiymatni oling.

$$\frac{9yx^{2}}{\left(4z\right)^{2}}$$

\left(4z\right)^{2} ni kengaytirish.

$$\frac{9yx^{2}}{4^{2}z^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{9yx^{2}}{16z^{2}}$$

Kengaytirish

$$\frac{9\times \left(\frac{x}{z}\right)^{2}y}{16}$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala \sqrt[4]{y}x^{\frac{2}{3}}z^{\frac{3}{2}} ni qisqartiring.

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

\frac{3\sqrt{y}x}{4z}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\left(3\sqrt{y}x\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{9\left(\sqrt{y}\right)^{2}x^{2}}{\left(4z\right)^{2}}$$

2 daraja ko‘rsatkichini \sqrt{y} ga hisoblang va y ni qiymatni oling.

$$\frac{9yx^{2}}{\left(4z\right)^{2}}$$

\left(4z\right)^{2} ni kengaytirish.

$$\frac{9yx^{2}}{4^{2}z^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{9yx^{2}}{16z^{2}}$$