frac{(6x^{-3}y^-3)^-3}{3x^4y^4} eching

$$\frac { ( 6 x ^ { - 3 } y ^ { - 3 } ) ^ { - 3 } } { 3 x ^ { 4 } y ^ { 4 } }$$

Baholash

$$\frac{\left(xy\right)^{5}}{648}$$

Yechim qadamlari

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -3 ni ko‘paytirib, 9 ni oling.

$$\frac{6^{-3}x^{9}\left(y^{-3}\right)^{-3}}{3x^{4}y^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -3 ni ko‘paytirib, 9 ni oling.

$$\frac{6^{-3}x^{9}y^{9}}{3x^{4}y^{4}}$$

-3 daraja ko‘rsatkichini 6 ga hisoblang va \frac{1}{216} ni qiymatni oling.

$$\frac{\frac{1}{216}x^{9}y^{9}}{3x^{4}y^{4}}$$

Surat va maxrajdagi ikkala x^{4}y^{4} ni qisqartiring.

$$\frac{\frac{1}{216}x^{5}y^{5}}{3}$$

\frac{1}{648}x^{5}y^{5} ni olish uchun \frac{1}{216}x^{5}y^{5} ni 3 ga bo‘ling.

$$\frac{1}{648}x^{5}y^{5}$$

Kengaytirish

$$\frac{\left(xy\right)^{5}}{648}$$

Yechim qadamlari

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -3 ni ko‘paytirib, 9 ni oling.

$$\frac{6^{-3}x^{9}\left(y^{-3}\right)^{-3}}{3x^{4}y^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -3 ni ko‘paytirib, 9 ni oling.

$$\frac{6^{-3}x^{9}y^{9}}{3x^{4}y^{4}}$$

-3 daraja ko‘rsatkichini 6 ga hisoblang va \frac{1}{216} ni qiymatni oling.

$$\frac{\frac{1}{216}x^{9}y^{9}}{3x^{4}y^{4}}$$

Surat va maxrajdagi ikkala x^{4}y^{4} ni qisqartiring.

$$\frac{\frac{1}{216}x^{5}y^{5}}{3}$$

\frac{1}{648}x^{5}y^{5} ni olish uchun \frac{1}{216}x^{5}y^{5} ni 3 ga bo‘ling.

$$\frac{1}{648}x^{5}y^{5}$$