(-3x^3/y^-2)^3 eching

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

Baholash

$$-27y^{6}x^{9}$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

$$\frac{-27x^{9}}{y^{-6}}$$

Kengaytirish

$$-27y^{6}x^{9}$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

$$\frac{-27x^{9}}{y^{-6}}$$