[(1/2x^2y^3)^3]^2 eching

$$[ ( \frac { 1 } { 2 } x ^ { 2 } y ^ { 3 } ) ^ { 3 } ] ^ { 2 }$$

Baholash

$$\frac{x^{12}y^{18}}{64}$$

Yechim qadamlari

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

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

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

$$\left(\left(\frac{1}{2}\right)^{3}x^{6}y^{9}\right)^{2}$$

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

$$\left(\frac{1}{8}x^{6}y^{9}\right)^{2}$$

\left(\frac{1}{8}x^{6}y^{9}\right)^{2} ni kengaytirish.

$$\left(\frac{1}{8}\right)^{2}\left(x^{6}\right)^{2}\left(y^{9}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$\left(\frac{1}{8}\right)^{2}x^{12}\left(y^{9}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 9 va 2 ni ko‘paytirib, 18 ni oling.

$$\left(\frac{1}{8}\right)^{2}x^{12}y^{18}$$

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

$$\frac{1}{64}x^{12}y^{18}$$

Kengaytirish

$$\frac{x^{12}y^{18}}{64}$$

Yechim qadamlari

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

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

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

$$\left(\left(\frac{1}{2}\right)^{3}x^{6}y^{9}\right)^{2}$$

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

$$\left(\frac{1}{8}x^{6}y^{9}\right)^{2}$$

\left(\frac{1}{8}x^{6}y^{9}\right)^{2} ni kengaytirish.

$$\left(\frac{1}{8}\right)^{2}\left(x^{6}\right)^{2}\left(y^{9}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$\left(\frac{1}{8}\right)^{2}x^{12}\left(y^{9}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 9 va 2 ni ko‘paytirib, 18 ni oling.

$$\left(\frac{1}{8}\right)^{2}x^{12}y^{18}$$

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

$$\frac{1}{64}x^{12}y^{18}$$