w^{10}x^5divw^3x/2y^4*(4y/x)^3 eching

$$w ^ { 10 } x ^ { 5 } \div \frac { w ^ { 3 } x } { 2 y ^ { 4 } } \times ( \frac { 4 y } { x } ) ^ { 3 }$$

Baholash

$$128x\left(wy\right)^{7}$$

Yechim qadamlari

w^{10}x^{5} ni \frac{w^{3}x}{2y^{4}} ga bo'lish w^{10}x^{5} ga k'paytirish \frac{w^{3}x}{2y^{4}} ga qaytarish.

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

Surat va maxrajdagi ikkala xw^{3} ni qisqartiring.

$$2x^{4}y^{4}w^{7}\times \left(\frac{4y}{x}\right)^{3}$$

\frac{4y}{x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$2x^{4}y^{4}w^{7}\times \frac{\left(4y\right)^{3}}{x^{3}}$$

2\times \frac{\left(4y\right)^{3}}{x^{3}} ni yagona kasrga aylantiring.

$$\frac{2\times \left(4y\right)^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 4^{3}y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 64y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

128 hosil qilish uchun 2 va 64 ni ko'paytirish.

$$\frac{128y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

\frac{128y^{3}}{x^{3}}x^{4} ni yagona kasrga aylantiring.

$$\frac{128y^{3}x^{4}}{x^{3}}y^{4}w^{7}$$

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$128xy^{3}y^{4}w^{7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$128xy^{7}w^{7}$$

Kengaytirish

$$128x\left(wy\right)^{7}$$

Yechim qadamlari

w^{10}x^{5} ni \frac{w^{3}x}{2y^{4}} ga bo'lish w^{10}x^{5} ga k'paytirish \frac{w^{3}x}{2y^{4}} ga qaytarish.

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

Surat va maxrajdagi ikkala xw^{3} ni qisqartiring.

$$2x^{4}y^{4}w^{7}\times \left(\frac{4y}{x}\right)^{3}$$

\frac{4y}{x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$2x^{4}y^{4}w^{7}\times \frac{\left(4y\right)^{3}}{x^{3}}$$

2\times \frac{\left(4y\right)^{3}}{x^{3}} ni yagona kasrga aylantiring.

$$\frac{2\times \left(4y\right)^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 4^{3}y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 64y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

128 hosil qilish uchun 2 va 64 ni ko'paytirish.

$$\frac{128y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

\frac{128y^{3}}{x^{3}}x^{4} ni yagona kasrga aylantiring.

$$\frac{128y^{3}x^{4}}{x^{3}}y^{4}w^{7}$$

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$128xy^{3}y^{4}w^{7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$128xy^{7}w^{7}$$