(frac{3^{2}xy^{3}}{3^3x^-1y^2})^-2 eching

$$( \frac { 3 ^ { 2 } x y ^ { 3 } } { 3 ^ { 3 } x ^ { - 1 } y ^ { 2 } } ) ^ { - 2 }$$

Baholash

$$\frac{9}{y^{2}x^{4}}$$

Yechim qadamlari

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

$$\left(\frac{xy}{3\times \frac{1}{x}}\right)^{-2}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(\frac{yx^{2}}{3}\right)^{-2}$$

\frac{yx^{2}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(yx^{2}\right)^{-2}}{3^{-2}}$$

\left(yx^{2}\right)^{-2} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -2 ni ko‘paytirib, -4 ni oling.

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

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{y^{-2}x^{-4}}{\frac{1}{9}}$$

y^{-2}x^{-4} ni \frac{1}{9} ga bo'lish y^{-2}x^{-4} ga k'paytirish \frac{1}{9} ga qaytarish.

$$y^{-2}x^{-4}\times 9$$

Kengaytirish

$$\frac{9}{y^{2}x^{4}}$$

Yechim qadamlari

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

$$\left(\frac{xy}{3\times \frac{1}{x}}\right)^{-2}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(\frac{yx^{2}}{3}\right)^{-2}$$

\frac{yx^{2}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(yx^{2}\right)^{-2}}{3^{-2}}$$

\left(yx^{2}\right)^{-2} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -2 ni ko‘paytirib, -4 ni oling.

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

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{y^{-2}x^{-4}}{\frac{1}{9}}$$

y^{-2}x^{-4} ni \frac{1}{9} ga bo'lish y^{-2}x^{-4} ga k'paytirish \frac{1}{9} ga qaytarish.

$$y^{-2}x^{-4}\times 9$$