(z^4/-3x^2)^3 eching

$$( \frac { z ^ { 4 } } { - 3 x ^ { 2 } } ) ^ { 3 }$$

Baholash

$$-\frac{z^{12}}{27x^{6}}$$

Yechim qadamlari

\frac{z^{4}}{-3x^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

$$\frac{z^{12}}{\left(-3x^{2}\right)^{3}}$$

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

$$\frac{z^{12}}{\left(-3\right)^{3}\left(x^{2}\right)^{3}}$$

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

$$\frac{z^{12}}{\left(-3\right)^{3}x^{6}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{z^{12}}{-27x^{6}}$$

Kengaytirish

$$-\frac{z^{12}}{27x^{6}}$$

Yechim qadamlari

\frac{z^{4}}{-3x^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

$$\frac{z^{12}}{\left(-3x^{2}\right)^{3}}$$

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

$$\frac{z^{12}}{\left(-3\right)^{3}\left(x^{2}\right)^{3}}$$

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

$$\frac{z^{12}}{\left(-3\right)^{3}x^{6}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{z^{12}}{-27x^{6}}$$