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

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

Baholash

$$\frac{1}{81}\approx 0,012345679$$

Yechim qadamlari

\left(3x^{-1}y^{-2}\right)^{-2} ni kengaytirish.

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

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

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

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

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

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

$$\frac{\frac{1}{9}x^{2}y^{4}}{\left(3xy^{2}\right)^{2}}$$

\left(3xy^{2}\right)^{2} ni kengaytirish.

$$\frac{\frac{1}{9}x^{2}y^{4}}{3^{2}x^{2}\left(y^{2}\right)^{2}}$$

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

$$\frac{\frac{1}{9}x^{2}y^{4}}{3^{2}x^{2}y^{4}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

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

Surat va maxrajdagi ikkala x^{2}y^{4} ni qisqartiring.

$$\frac{\frac{1}{9}}{9}$$

\frac{\frac{1}{9}}{9} ni yagona kasrga aylantiring.

$$\frac{1}{9\times 9}$$

81 hosil qilish uchun 9 va 9 ni ko'paytirish.

$$\frac{1}{81}$$

Omil

$$\frac{1}{3 ^ {4}} = 0,012345679012345678$$