frac{4xy^{2}*8x^3y^3}{(4xy^2)^2} eching

$$\frac { 4 x y ^ { 2 } \cdot 8 x ^ { 3 } y ^ { 3 } } { ( 4 x y ^ { 2 } ) ^ { 2 } }$$

Baholash

$$2yx^{2}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{4x^{4}y^{2}\times 8y^{3}}{\left(4xy^{2}\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{4x^{4}y^{5}\times 8}{\left(4xy^{2}\right)^{2}}$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$\frac{32x^{4}y^{5}}{\left(4xy^{2}\right)^{2}}$$

\left(4xy^{2}\right)^{2} ni kengaytirish.

$$\frac{32x^{4}y^{5}}{4^{2}x^{2}\left(y^{2}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{32x^{4}y^{5}}{4^{2}x^{2}y^{4}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{32x^{4}y^{5}}{16x^{2}y^{4}}$$

Surat va maxrajdagi ikkala 16x^{2}y^{4} ni qisqartiring.

$$2yx^{2}$$

Kengaytirish

$$2yx^{2}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{4x^{4}y^{2}\times 8y^{3}}{\left(4xy^{2}\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{4x^{4}y^{5}\times 8}{\left(4xy^{2}\right)^{2}}$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$\frac{32x^{4}y^{5}}{\left(4xy^{2}\right)^{2}}$$

\left(4xy^{2}\right)^{2} ni kengaytirish.

$$\frac{32x^{4}y^{5}}{4^{2}x^{2}\left(y^{2}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{32x^{4}y^{5}}{4^{2}x^{2}y^{4}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{32x^{4}y^{5}}{16x^{2}y^{4}}$$

Surat va maxrajdagi ikkala 16x^{2}y^{4} ni qisqartiring.

$$2yx^{2}$$