(x^3)1/2*(x^4)1/2*{left(xfrac{1/3right)}^5}{(x)*(x^11)1/2*(x^3)frac{1}{3}}*4 eching

$$\frac{ ( { x }^{ 3 } ) \frac{ 1 }{ 2 } \times ( { x }^{ 4 } ) \frac{ 1 }{ 2 } \times { \left(x \frac{ 1 }{ 3 } \right) }^{ 5 } }{ (x) \times ( { x }^{ 11 } ) \frac{ 1 }{ 2 } \times ( { x }^{ 3 } ) \frac{ 1 }{ 3 } } \times 4$$

Baholash

$$\frac{2}{81x^{3}}$$

Yechim qadamlari

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

$$\frac{x^{7}\times \frac{1}{2}\times \frac{1}{2}\left(x\times \frac{1}{3}\right)^{5}}{xx^{11}\times \frac{1}{2}x^{3}\times \frac{1}{3}}\times 4$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 11 ni qo‘shib, 12 ni oling.

$$\frac{x^{7}\times \frac{1}{2}\times \frac{1}{2}\left(x\times \frac{1}{3}\right)^{5}}{x^{12}\times \frac{1}{2}x^{3}\times \frac{1}{3}}\times 4$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 3 ni qo‘shib, 15 ni oling.

$$\frac{x^{7}\times \frac{1}{2}\times \frac{1}{2}\left(x\times \frac{1}{3}\right)^{5}}{x^{15}\times \frac{1}{2}\times \frac{1}{3}}\times 4$$

Surat va maxrajdagi ikkala x^{7} ni qisqartiring.

$$\frac{\frac{1}{2}\times \frac{1}{2}\times \left(\frac{1}{3}x\right)^{5}}{\frac{1}{3}\times \frac{1}{2}x^{8}}\times 4$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\left(\frac{1}{3}x\right)^{5}}{\frac{1}{3}\times \frac{1}{\frac{1}{2}}x^{8}}\times 4$$

\left(\frac{1}{3}x\right)^{5} ni kengaytirish.

$$\frac{\left(\frac{1}{3}\right)^{5}x^{5}}{\frac{1}{3}\times \frac{1}{\frac{1}{2}}x^{8}}\times 4$$

5 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{243} ni qiymatni oling.

$$\frac{\frac{1}{243}x^{5}}{\frac{1}{3}\times \frac{1}{\frac{1}{2}}x^{8}}\times 4$$

1 ni \frac{1}{2} ga bo'lish 1 ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{\frac{1}{243}x^{5}}{\frac{1}{3}\times 1\times 2x^{8}}\times 4$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{\frac{1}{243}x^{5}}{\frac{1}{3}\times 2x^{8}}\times 4$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$\frac{\frac{1}{243}x^{5}}{\frac{2}{3}x^{8}}\times 4$$

Surat va maxrajdagi ikkala x^{5} ni qisqartiring.

$$\frac{\frac{1}{243}}{\frac{2}{3}x^{3}}\times 4$$

\frac{\frac{1}{243}}{\frac{2}{3}x^{3}} ni yagona kasrga aylantiring.

$$\frac{1}{243\times \frac{2}{3}x^{3}}\times 4$$

162 hosil qilish uchun 243 va \frac{2}{3} ni ko'paytirish.

$$\frac{1}{162x^{3}}\times 4$$

\frac{1}{162x^{3}}\times 4 ni yagona kasrga aylantiring.

$$\frac{4}{162x^{3}}$$

Kengaytirish

$$\frac{2}{81x^{3}}$$

Yechim qadamlari

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

$$\frac{x^{7}\times \frac{1}{2}\times \frac{1}{2}\left(x\times \frac{1}{3}\right)^{5}}{xx^{11}\times \frac{1}{2}x^{3}\times \frac{1}{3}}\times 4$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 11 ni qo‘shib, 12 ni oling.

$$\frac{x^{7}\times \frac{1}{2}\times \frac{1}{2}\left(x\times \frac{1}{3}\right)^{5}}{x^{12}\times \frac{1}{2}x^{3}\times \frac{1}{3}}\times 4$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 3 ni qo‘shib, 15 ni oling.

$$\frac{x^{7}\times \frac{1}{2}\times \frac{1}{2}\left(x\times \frac{1}{3}\right)^{5}}{x^{15}\times \frac{1}{2}\times \frac{1}{3}}\times 4$$

Surat va maxrajdagi ikkala x^{7} ni qisqartiring.

$$\frac{\frac{1}{2}\times \frac{1}{2}\times \left(\frac{1}{3}x\right)^{5}}{\frac{1}{3}\times \frac{1}{2}x^{8}}\times 4$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\left(\frac{1}{3}x\right)^{5}}{\frac{1}{3}\times \frac{1}{\frac{1}{2}}x^{8}}\times 4$$

\left(\frac{1}{3}x\right)^{5} ni kengaytirish.

$$\frac{\left(\frac{1}{3}\right)^{5}x^{5}}{\frac{1}{3}\times \frac{1}{\frac{1}{2}}x^{8}}\times 4$$

5 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{243} ni qiymatni oling.

$$\frac{\frac{1}{243}x^{5}}{\frac{1}{3}\times \frac{1}{\frac{1}{2}}x^{8}}\times 4$$

1 ni \frac{1}{2} ga bo'lish 1 ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{\frac{1}{243}x^{5}}{\frac{1}{3}\times 1\times 2x^{8}}\times 4$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{\frac{1}{243}x^{5}}{\frac{1}{3}\times 2x^{8}}\times 4$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$\frac{\frac{1}{243}x^{5}}{\frac{2}{3}x^{8}}\times 4$$

Surat va maxrajdagi ikkala x^{5} ni qisqartiring.

$$\frac{\frac{1}{243}}{\frac{2}{3}x^{3}}\times 4$$

\frac{\frac{1}{243}}{\frac{2}{3}x^{3}} ni yagona kasrga aylantiring.

$$\frac{1}{243\times \frac{2}{3}x^{3}}\times 4$$

162 hosil qilish uchun 243 va \frac{2}{3} ni ko'paytirish.

$$\frac{1}{162x^{3}}\times 4$$

\frac{1}{162x^{3}}\times 4 ni yagona kasrga aylantiring.

$$\frac{4}{162x^{3}}$$