frac{8x^{3}(x^2)^8}{(-2x^6y)^2} eching

$$\frac { 8 x ^ { 3 } ( x ^ { 2 } ) ^ { 8 } } { ( - 2 x ^ { 6 } y ) ^ { 2 } }$$

Baholash

$$\frac{2x^{7}}{y^{2}}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 8 ni ko‘paytirib, 16 ni oling.

$$\frac{8x^{3}x^{16}}{\left(-2x^{6}y\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 16 ni qo‘shib, 19 ni oling.

$$\frac{8x^{19}}{\left(-2x^{6}y\right)^{2}}$$

\left(-2x^{6}y\right)^{2} ni kengaytirish.

$$\frac{8x^{19}}{\left(-2\right)^{2}\left(x^{6}\right)^{2}y^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$\frac{8x^{19}}{\left(-2\right)^{2}x^{12}y^{2}}$$

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{8x^{19}}{4x^{12}y^{2}}$$

Surat va maxrajdagi ikkala 4x^{12} ni qisqartiring.

$$\frac{2x^{7}}{y^{2}}$$

Kengaytirish

$$\frac{2x^{7}}{y^{2}}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 8 ni ko‘paytirib, 16 ni oling.

$$\frac{8x^{3}x^{16}}{\left(-2x^{6}y\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 16 ni qo‘shib, 19 ni oling.

$$\frac{8x^{19}}{\left(-2x^{6}y\right)^{2}}$$

\left(-2x^{6}y\right)^{2} ni kengaytirish.

$$\frac{8x^{19}}{\left(-2\right)^{2}\left(x^{6}\right)^{2}y^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$\frac{8x^{19}}{\left(-2\right)^{2}x^{12}y^{2}}$$

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{8x^{19}}{4x^{12}y^{2}}$$

Surat va maxrajdagi ikkala 4x^{12} ni qisqartiring.

$$\frac{2x^{7}}{y^{2}}$$