35x^3y^3/8p^5q^47xy/64pq/frac{8{p^4{y}^4}{5{x}^2{y}^2}} eching

$$\frac{ \frac{ 35 { x }^{ 3 } { y }^{ 3 } }{ 8 { p }^{ 5 } { q }^{ 4 } } \frac{ 7xy }{ 64pq } }{ \frac{ 8 { p }^{ 4 } { y }^{ 4 } }{ 5 { x }^{ 2 } { y }^{ 2 } } }$$

Baholash

$$\frac{1225y^{2}x^{6}}{4096q^{5}p^{10}}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{35x^{3}y^{3}}{8p^{5}q^{4}} ni \frac{7xy}{64pq} ga ko‘paytiring.

$$\frac{\frac{35x^{3}y^{3}\times 7xy}{8p^{5}q^{4}\times 64pq}}{\frac{8p^{4}y^{4}}{5x^{2}y^{2}}}$$

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

$$\frac{\frac{35x^{3}y^{3}\times 7xy}{8p^{5}q^{4}\times 64pq}}{\frac{8y^{2}p^{4}}{5x^{2}}}$$

\frac{35x^{3}y^{3}\times 7xy}{8p^{5}q^{4}\times 64pq} ni \frac{8y^{2}p^{4}}{5x^{2}} ga bo'lish \frac{35x^{3}y^{3}\times 7xy}{8p^{5}q^{4}\times 64pq} ga k'paytirish \frac{8y^{2}p^{4}}{5x^{2}} ga qaytarish.

$$\frac{35x^{3}y^{3}\times 7xy\times 5x^{2}}{8p^{5}q^{4}\times 64pq\times 8y^{2}p^{4}}$$

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

$$\frac{5\times 7\times 35xyyx^{2}x^{3}}{8\times 8\times 64pqp^{4}q^{4}p^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$\frac{5\times 7\times 35x^{3}yyx^{3}}{8\times 8\times 64pqp^{4}q^{4}p^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

$$\frac{5\times 7\times 35x^{6}yy}{8\times 8\times 64pqp^{4}q^{4}p^{5}}$$

y^{2} hosil qilish uchun y va y ni ko'paytirish.

$$\frac{5\times 7\times 35x^{6}y^{2}}{8\times 8\times 64pqp^{4}q^{4}p^{5}}$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\frac{35\times 35x^{6}y^{2}}{8\times 8\times 64pqp^{4}q^{4}p^{5}}$$

1225 hosil qilish uchun 35 va 35 ni ko'paytirish.

$$\frac{1225x^{6}y^{2}}{8\times 8\times 64pqp^{4}q^{4}p^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 4 ni qo‘shib, 5 ni oling.

$$\frac{1225x^{6}y^{2}}{8\times 8\times 64p^{5}qq^{4}p^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 5 ni qo‘shib, 10 ni oling.

$$\frac{1225x^{6}y^{2}}{8\times 8\times 64p^{10}qq^{4}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 4 ni qo‘shib, 5 ni oling.

$$\frac{1225x^{6}y^{2}}{8\times 8\times 64p^{10}q^{5}}$$

64 hosil qilish uchun 8 va 8 ni ko'paytirish.

$$\frac{1225x^{6}y^{2}}{64\times 64p^{10}q^{5}}$$

4096 hosil qilish uchun 64 va 64 ni ko'paytirish.

$$\frac{1225x^{6}y^{2}}{4096p^{10}q^{5}}$$

x ga nisbatan hosilani topish

$$\frac{3675\times \left(\frac{x}{q}\right)^{5}y^{2}}{2048p^{10}}$$