a^{6}b^{9}diva^2b^4/4c^2*(2c/b)^4 eching

$$a ^ { 6 } b ^ { 9 } \div \frac { a ^ { 2 } b ^ { 4 } } { 4 c ^ { 2 } } \times ( \frac { 2 c } { b } ) ^ { 4 }$$

Baholash

$$64ba^{4}c^{6}$$

Yechim qadamlari

a^{6}b^{9} ni \frac{a^{2}b^{4}}{4c^{2}} ga bo'lish a^{6}b^{9} ga k'paytirish \frac{a^{2}b^{4}}{4c^{2}} ga qaytarish.

$$\frac{a^{6}b^{9}\times 4c^{2}}{a^{2}b^{4}}\times \left(\frac{2c}{b}\right)^{4}$$

Surat va maxrajdagi ikkala a^{2}b^{4} ni qisqartiring.

$$4c^{2}a^{4}b^{5}\times \left(\frac{2c}{b}\right)^{4}$$

\frac{2c}{b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$4c^{2}a^{4}b^{5}\times \frac{\left(2c\right)^{4}}{b^{4}}$$

4\times \frac{\left(2c\right)^{4}}{b^{4}} ni yagona kasrga aylantiring.

$$\frac{4\times \left(2c\right)^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

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

$$\frac{4\times 2^{4}c^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

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

$$\frac{4\times 16c^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

64 hosil qilish uchun 4 va 16 ni ko'paytirish.

$$\frac{64c^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

\frac{64c^{4}}{b^{4}}c^{2} ni yagona kasrga aylantiring.

$$\frac{64c^{4}c^{2}}{b^{4}}a^{4}b^{5}$$

\frac{64c^{4}c^{2}}{b^{4}}a^{4} ni yagona kasrga aylantiring.

$$\frac{64c^{4}c^{2}a^{4}}{b^{4}}b^{5}$$

\frac{64c^{4}c^{2}a^{4}}{b^{4}}b^{5} ni yagona kasrga aylantiring.

$$\frac{64c^{4}c^{2}a^{4}b^{5}}{b^{4}}$$

Surat va maxrajdagi ikkala b^{4} ni qisqartiring.

$$64bc^{2}a^{4}c^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$64bc^{6}a^{4}$$

Kengaytirish

$$64ba^{4}c^{6}$$

Yechim qadamlari

a^{6}b^{9} ni \frac{a^{2}b^{4}}{4c^{2}} ga bo'lish a^{6}b^{9} ga k'paytirish \frac{a^{2}b^{4}}{4c^{2}} ga qaytarish.

$$\frac{a^{6}b^{9}\times 4c^{2}}{a^{2}b^{4}}\times \left(\frac{2c}{b}\right)^{4}$$

Surat va maxrajdagi ikkala a^{2}b^{4} ni qisqartiring.

$$4c^{2}a^{4}b^{5}\times \left(\frac{2c}{b}\right)^{4}$$

\frac{2c}{b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$4c^{2}a^{4}b^{5}\times \frac{\left(2c\right)^{4}}{b^{4}}$$

4\times \frac{\left(2c\right)^{4}}{b^{4}} ni yagona kasrga aylantiring.

$$\frac{4\times \left(2c\right)^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

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

$$\frac{4\times 2^{4}c^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

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

$$\frac{4\times 16c^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

64 hosil qilish uchun 4 va 16 ni ko'paytirish.

$$\frac{64c^{4}}{b^{4}}c^{2}a^{4}b^{5}$$

\frac{64c^{4}}{b^{4}}c^{2} ni yagona kasrga aylantiring.

$$\frac{64c^{4}c^{2}}{b^{4}}a^{4}b^{5}$$

\frac{64c^{4}c^{2}}{b^{4}}a^{4} ni yagona kasrga aylantiring.

$$\frac{64c^{4}c^{2}a^{4}}{b^{4}}b^{5}$$

\frac{64c^{4}c^{2}a^{4}}{b^{4}}b^{5} ni yagona kasrga aylantiring.

$$\frac{64c^{4}c^{2}a^{4}b^{5}}{b^{4}}$$

Surat va maxrajdagi ikkala b^{4} ni qisqartiring.

$$64bc^{2}a^{4}c^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$64bc^{6}a^{4}$$