frac{(8xy^{3}z^{4})^{3}yz}{(4x^2y^4)^3z^6} eching

$$\frac { ( 8 x y ^ { 3 } z ^ { 4 } ) ^ { 3 } y z } { ( 4 x ^ { 2 } y ^ { 4 } ) ^ { 3 } z ^ { 6 } }$$

Baholash

$$\frac{8z^{7}}{y^{2}x^{3}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala z ni qisqartiring.

$$\frac{y\times \left(8xy^{3}z^{4}\right)^{3}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

\left(8xy^{3}z^{4}\right)^{3} ni kengaytirish.

$$\frac{y\times 8^{3}x^{3}\left(y^{3}\right)^{3}\left(z^{4}\right)^{3}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

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

$$\frac{y\times 8^{3}x^{3}y^{9}\left(z^{4}\right)^{3}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.

$$\frac{y\times 8^{3}x^{3}y^{9}z^{12}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{y\times 512x^{3}y^{9}z^{12}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 9 ni qo‘shib, 10 ni oling.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

\left(4x^{2}y^{4}\right)^{3} ni kengaytirish.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 4^{3}\left(x^{2}\right)^{3}\left(y^{4}\right)^{3}}$$

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

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 4^{3}x^{6}\left(y^{4}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 4^{3}x^{6}y^{12}}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 64x^{6}y^{12}}$$

Surat va maxrajdagi ikkala 64x^{3}z^{5}y^{10} ni qisqartiring.

$$\frac{8z^{7}}{y^{2}x^{3}}$$

Kengaytirish

$$\frac{8z^{7}}{y^{2}x^{3}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala z ni qisqartiring.

$$\frac{y\times \left(8xy^{3}z^{4}\right)^{3}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

\left(8xy^{3}z^{4}\right)^{3} ni kengaytirish.

$$\frac{y\times 8^{3}x^{3}\left(y^{3}\right)^{3}\left(z^{4}\right)^{3}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

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

$$\frac{y\times 8^{3}x^{3}y^{9}\left(z^{4}\right)^{3}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.

$$\frac{y\times 8^{3}x^{3}y^{9}z^{12}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{y\times 512x^{3}y^{9}z^{12}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 9 ni qo‘shib, 10 ni oling.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times \left(4x^{2}y^{4}\right)^{3}}$$

\left(4x^{2}y^{4}\right)^{3} ni kengaytirish.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 4^{3}\left(x^{2}\right)^{3}\left(y^{4}\right)^{3}}$$

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

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 4^{3}x^{6}\left(y^{4}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 4^{3}x^{6}y^{12}}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$\frac{y^{10}\times 512x^{3}z^{12}}{z^{5}\times 64x^{6}y^{12}}$$

Surat va maxrajdagi ikkala 64x^{3}z^{5}y^{10} ni qisqartiring.

$$\frac{8z^{7}}{y^{2}x^{3}}$$