(2x^6/y^4)^-3quad1/8x eching

$$( \frac { 2 x ^ { 6 } } { y ^ { 4 } } ) ^ { - 3 } \quad 1 / 8 x$$

Baholash

$$\frac{y^{12}}{64x^{17}}$$

Yechim qadamlari

\frac{2x^{6}}{y^{4}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}}\times \frac{1}{8}x$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}} ni \frac{1}{8} ga ko‘paytiring.

$$\frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}\times 8}x$$

\frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}\times 8}x ni yagona kasrga aylantiring.

$$\frac{\left(2x^{6}\right)^{-3}x}{\left(y^{4}\right)^{-3}\times 8}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -3 ni ko‘paytirib, -12 ni oling.

$$\frac{\left(2x^{6}\right)^{-3}x}{y^{-12}\times 8}$$

\left(2x^{6}\right)^{-3} ni kengaytirish.

$$\frac{2^{-3}\left(x^{6}\right)^{-3}x}{y^{-12}\times 8}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -3 ni ko‘paytirib, -18 ni oling.

$$\frac{2^{-3}x^{-18}x}{y^{-12}\times 8}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}x^{-18}x}{y^{-12}\times 8}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -18 va 1 ni qo‘shib, -17 ni oling.

$$\frac{\frac{1}{8}x^{-17}}{y^{-12}\times 8}$$

Kengaytirish

$$\frac{y^{12}}{64x^{17}}$$

Yechim qadamlari

\frac{2x^{6}}{y^{4}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}}\times \frac{1}{8}x$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}} ni \frac{1}{8} ga ko‘paytiring.

$$\frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}\times 8}x$$

\frac{\left(2x^{6}\right)^{-3}}{\left(y^{4}\right)^{-3}\times 8}x ni yagona kasrga aylantiring.

$$\frac{\left(2x^{6}\right)^{-3}x}{\left(y^{4}\right)^{-3}\times 8}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -3 ni ko‘paytirib, -12 ni oling.

$$\frac{\left(2x^{6}\right)^{-3}x}{y^{-12}\times 8}$$

\left(2x^{6}\right)^{-3} ni kengaytirish.

$$\frac{2^{-3}\left(x^{6}\right)^{-3}x}{y^{-12}\times 8}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -3 ni ko‘paytirib, -18 ni oling.

$$\frac{2^{-3}x^{-18}x}{y^{-12}\times 8}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}x^{-18}x}{y^{-12}\times 8}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -18 va 1 ni qo‘shib, -17 ni oling.

$$\frac{\frac{1}{8}x^{-17}}{y^{-12}\times 8}$$