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

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

Baholash

$$\frac{4}{3y}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -1 ni qo‘shib, 1 ni oling.

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

Surat va maxrajdagi ikkala 4 ni qisqartiring.

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

2\times \frac{1}{x} ni yagona kasrga aylantiring.

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

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

$$\frac{\frac{2^{3}}{x^{3}}x^{3}}{2\times 3y^{1}}$$

x^{3} va x^{3} ni qisqartiring.

$$\frac{2^{3}}{2\times 3y^{1}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{2^{3}}{6y^{1}}$$

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

$$\frac{2^{3}}{6y}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8}{6y}$$

Kengaytirish

$$\frac{4}{3y}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -1 ni qo‘shib, 1 ni oling.

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

Surat va maxrajdagi ikkala 4 ni qisqartiring.

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

2\times \frac{1}{x} ni yagona kasrga aylantiring.

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

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

$$\frac{\frac{2^{3}}{x^{3}}x^{3}}{2\times 3y^{1}}$$

x^{3} va x^{3} ni qisqartiring.

$$\frac{2^{3}}{2\times 3y^{1}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{2^{3}}{6y^{1}}$$

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

$$\frac{2^{3}}{6y}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8}{6y}$$