[(x^-2)/(xy)^3]^15 eching

$$[ \frac { ( x ^ { - 2 } ) } { ( x y ) ^ { 3 } } ] ^ { 15 }$$

Baholash

$$\frac{1}{y^{45}x^{75}}$$

Yechim qadamlari

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

$$\left(\frac{x^{-2}}{x^{3}y^{3}}\right)^{15}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\left(\frac{1}{y^{3}x^{5}}\right)^{15}$$

\frac{1}{y^{3}x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1^{15}}{\left(y^{3}x^{5}\right)^{15}}$$

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

$$\frac{1}{\left(y^{3}x^{5}\right)^{15}}$$

\left(y^{3}x^{5}\right)^{15} ni kengaytirish.

$$\frac{1}{\left(y^{3}\right)^{15}\left(x^{5}\right)^{15}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 15 ni ko‘paytirib, 45 ni oling.

$$\frac{1}{y^{45}\left(x^{5}\right)^{15}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 15 ni ko‘paytirib, 75 ni oling.

$$\frac{1}{y^{45}x^{75}}$$

Kengaytirish

$$\frac{1}{y^{45}x^{75}}$$

Yechim qadamlari

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

$$\left(\frac{x^{-2}}{x^{3}y^{3}}\right)^{15}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\left(\frac{1}{y^{3}x^{5}}\right)^{15}$$

\frac{1}{y^{3}x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1^{15}}{\left(y^{3}x^{5}\right)^{15}}$$

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

$$\frac{1}{\left(y^{3}x^{5}\right)^{15}}$$

\left(y^{3}x^{5}\right)^{15} ni kengaytirish.

$$\frac{1}{\left(y^{3}\right)^{15}\left(x^{5}\right)^{15}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 15 ni ko‘paytirib, 45 ni oling.

$$\frac{1}{y^{45}\left(x^{5}\right)^{15}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 15 ni ko‘paytirib, 75 ni oling.

$$\frac{1}{y^{45}x^{75}}$$