(frac{2x^{-4}y^{8}}{16xy^{-3}})^-2(x^2y^2)^-1 eching

$$( \frac { 2 x ^ { - 4 } y ^ { 8 } } { 16 x y ^ { - 3 } } ) ^ { - 2 } ( x ^ { 2 } y ^ { 2 } ) ^ { - 1 }$$

Baholash

$$\frac{64x^{8}}{y^{24}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\left(\frac{x^{-4}y^{8}}{8y^{-3}x}\right)^{-2}\left(x^{2}y^{2}\right)^{-1}$$

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

$$\left(\frac{x^{-4}y^{11}}{8x}\right)^{-2}\left(x^{2}y^{2}\right)^{-1}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\left(\frac{y^{11}}{8x^{5}}\right)^{-2}\left(x^{2}y^{2}\right)^{-1}$$

\frac{y^{11}}{8x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}\left(x^{2}y^{2}\right)^{-1}$$

\left(x^{2}y^{2}\right)^{-1} ni kengaytirish.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}\left(x^{2}\right)^{-1}\left(y^{2}\right)^{-1}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -1 ni ko‘paytirib, -2 ni oling.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}x^{-2}\left(y^{2}\right)^{-1}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -1 ni ko‘paytirib, -2 ni oling.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}x^{-2}y^{-2}$$

\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}x^{-2} ni yagona kasrga aylantiring.

$$\frac{\left(y^{11}\right)^{-2}x^{-2}}{\left(8x^{5}\right)^{-2}}y^{-2}$$

\frac{\left(y^{11}\right)^{-2}x^{-2}}{\left(8x^{5}\right)^{-2}}y^{-2} ni yagona kasrga aylantiring.

$$\frac{\left(y^{11}\right)^{-2}x^{-2}y^{-2}}{\left(8x^{5}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 11 va -2 ni ko‘paytirib, -22 ni oling.

$$\frac{y^{-22}x^{-2}y^{-2}}{\left(8x^{5}\right)^{-2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -22 va -2 ni qo‘shib, -24 ni oling.

$$\frac{y^{-24}x^{-2}}{\left(8x^{5}\right)^{-2}}$$

\left(8x^{5}\right)^{-2} ni kengaytirish.

$$\frac{y^{-24}x^{-2}}{8^{-2}\left(x^{5}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.

$$\frac{y^{-24}x^{-2}}{8^{-2}x^{-10}}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{y^{-24}x^{-2}}{\frac{1}{64}x^{-10}}$$

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

$$\frac{y^{-24}x^{8}}{\frac{1}{64}}$$

y^{-24}x^{8} ni \frac{1}{64} ga bo'lish y^{-24}x^{8} ga k'paytirish \frac{1}{64} ga qaytarish.

$$y^{-24}x^{8}\times 64$$

Kengaytirish

$$\frac{64x^{8}}{y^{24}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\left(\frac{x^{-4}y^{8}}{8y^{-3}x}\right)^{-2}\left(x^{2}y^{2}\right)^{-1}$$

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

$$\left(\frac{x^{-4}y^{11}}{8x}\right)^{-2}\left(x^{2}y^{2}\right)^{-1}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\left(\frac{y^{11}}{8x^{5}}\right)^{-2}\left(x^{2}y^{2}\right)^{-1}$$

\frac{y^{11}}{8x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}\left(x^{2}y^{2}\right)^{-1}$$

\left(x^{2}y^{2}\right)^{-1} ni kengaytirish.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}\left(x^{2}\right)^{-1}\left(y^{2}\right)^{-1}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -1 ni ko‘paytirib, -2 ni oling.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}x^{-2}\left(y^{2}\right)^{-1}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -1 ni ko‘paytirib, -2 ni oling.

$$\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}x^{-2}y^{-2}$$

\frac{\left(y^{11}\right)^{-2}}{\left(8x^{5}\right)^{-2}}x^{-2} ni yagona kasrga aylantiring.

$$\frac{\left(y^{11}\right)^{-2}x^{-2}}{\left(8x^{5}\right)^{-2}}y^{-2}$$

\frac{\left(y^{11}\right)^{-2}x^{-2}}{\left(8x^{5}\right)^{-2}}y^{-2} ni yagona kasrga aylantiring.

$$\frac{\left(y^{11}\right)^{-2}x^{-2}y^{-2}}{\left(8x^{5}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 11 va -2 ni ko‘paytirib, -22 ni oling.

$$\frac{y^{-22}x^{-2}y^{-2}}{\left(8x^{5}\right)^{-2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -22 va -2 ni qo‘shib, -24 ni oling.

$$\frac{y^{-24}x^{-2}}{\left(8x^{5}\right)^{-2}}$$

\left(8x^{5}\right)^{-2} ni kengaytirish.

$$\frac{y^{-24}x^{-2}}{8^{-2}\left(x^{5}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.

$$\frac{y^{-24}x^{-2}}{8^{-2}x^{-10}}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{y^{-24}x^{-2}}{\frac{1}{64}x^{-10}}$$

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

$$\frac{y^{-24}x^{8}}{\frac{1}{64}}$$

y^{-24}x^{8} ni \frac{1}{64} ga bo'lish y^{-24}x^{8} ga k'paytirish \frac{1}{64} ga qaytarish.

$$y^{-24}x^{8}\times 64$$