(frac{-21x^{12}y^6}{7x^17y^-2})^3 eching

$$( \frac { - 21 x ^ { 12 } y ^ { 6 } } { 7 x ^ { 17 } y ^ { - 2 } } ) ^ { 3 }$$

Baholash

$$-\frac{27y^{24}}{x^{15}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 7x^{12} ni qisqartiring.

$$\left(\frac{-3y^{6}}{y^{-2}x^{5}}\right)^{3}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(\frac{-3y^{8}}{x^{5}}\right)^{3}$$

\frac{-3y^{8}}{x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(-3y^{8}\right)^{3}}{\left(x^{5}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{\left(-3y^{8}\right)^{3}}{x^{15}}$$

\left(-3y^{8}\right)^{3} ni kengaytirish.

$$\frac{\left(-3\right)^{3}\left(y^{8}\right)^{3}}{x^{15}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 3 ni ko‘paytirib, 24 ni oling.

$$\frac{\left(-3\right)^{3}y^{24}}{x^{15}}$$

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

$$\frac{-27y^{24}}{x^{15}}$$

Kengaytirish

$$-\frac{27y^{24}}{x^{15}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 7x^{12} ni qisqartiring.

$$\left(\frac{-3y^{6}}{y^{-2}x^{5}}\right)^{3}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(\frac{-3y^{8}}{x^{5}}\right)^{3}$$

\frac{-3y^{8}}{x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(-3y^{8}\right)^{3}}{\left(x^{5}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{\left(-3y^{8}\right)^{3}}{x^{15}}$$

\left(-3y^{8}\right)^{3} ni kengaytirish.

$$\frac{\left(-3\right)^{3}\left(y^{8}\right)^{3}}{x^{15}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 3 ni ko‘paytirib, 24 ni oling.

$$\frac{\left(-3\right)^{3}y^{24}}{x^{15}}$$

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

$$\frac{-27y^{24}}{x^{15}}$$