(frac{2^{-1}x^{-2}y^{0}}{8^-2x^3y^4})^-2 eching

$$( \frac { 2 ^ { - 1 } x ^ { - 2 } y ^ { 0 } } { 8 ^ { - 2 } x ^ { 3 } y ^ { 4 } } ) ^ { - 2 }$$

Baholash

$$\frac{y^{8}x^{10}}{1024}$$

Yechim qadamlari

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

$$\left(\frac{\frac{1}{2}}{8^{-2}y^{4}x^{5}}\right)^{-2}$$

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

$$\left(\frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

\frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}} ni yagona kasrga aylantiring.

$$\left(\frac{1}{2\times \frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

\frac{1}{32} hosil qilish uchun 2 va \frac{1}{64} ni ko'paytirish.

$$\left(\frac{1}{\frac{1}{32}y^{4}x^{5}}\right)^{-2}$$

\frac{1}{\frac{1}{32}y^{4}x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1^{-2}}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

-2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

\left(\frac{1}{32}y^{4}x^{5}\right)^{-2} ni kengaytirish.

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}\left(y^{4}\right)^{-2}\left(x^{5}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}\left(x^{5}\right)^{-2}}$$

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

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}x^{-10}}$$

-2 daraja ko‘rsatkichini \frac{1}{32} ga hisoblang va 1024 ni qiymatni oling.

$$\frac{1}{1024y^{-8}x^{-10}}$$

Kengaytirish

$$\frac{y^{8}x^{10}}{1024}$$

Yechim qadamlari

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

$$\left(\frac{\frac{1}{2}}{8^{-2}y^{4}x^{5}}\right)^{-2}$$

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

$$\left(\frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

\frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}} ni yagona kasrga aylantiring.

$$\left(\frac{1}{2\times \frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

\frac{1}{32} hosil qilish uchun 2 va \frac{1}{64} ni ko'paytirish.

$$\left(\frac{1}{\frac{1}{32}y^{4}x^{5}}\right)^{-2}$$

\frac{1}{\frac{1}{32}y^{4}x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1^{-2}}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

-2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

\left(\frac{1}{32}y^{4}x^{5}\right)^{-2} ni kengaytirish.

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}\left(y^{4}\right)^{-2}\left(x^{5}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}\left(x^{5}\right)^{-2}}$$

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

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}x^{-10}}$$

-2 daraja ko‘rsatkichini \frac{1}{32} ga hisoblang va 1024 ni qiymatni oling.

$$\frac{1}{1024y^{-8}x^{-10}}$$