a^7b^6diva^5b/3c*(3c/b)^2 eching

$$a ^ { 7 } b ^ { 6 } \div \frac { a ^ { 5 } b } { 3 c } \times ( \frac { 3 c } { b } ) ^ { 2 }$$

Baholash

$$27a^{2}\left(bc\right)^{3}$$

Yechim qadamlari

a^{7}b^{6} ni \frac{a^{5}b}{3c} ga bo'lish a^{7}b^{6} ga k'paytirish \frac{a^{5}b}{3c} ga qaytarish.

$$\frac{a^{7}b^{6}\times 3c}{a^{5}b}\times \left(\frac{3c}{b}\right)^{2}$$

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

$$3ca^{2}b^{5}\times \left(\frac{3c}{b}\right)^{2}$$

\frac{3c}{b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$3ca^{2}b^{5}\times \frac{\left(3c\right)^{2}}{b^{2}}$$

3\times \frac{\left(3c\right)^{2}}{b^{2}} ni yagona kasrga aylantiring.

$$\frac{3\times \left(3c\right)^{2}}{b^{2}}ca^{2}b^{5}$$

\left(3c\right)^{2} ni kengaytirish.

$$\frac{3\times 3^{2}c^{2}}{b^{2}}ca^{2}b^{5}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{3\times 9c^{2}}{b^{2}}ca^{2}b^{5}$$

27 hosil qilish uchun 3 va 9 ni ko'paytirish.

$$\frac{27c^{2}}{b^{2}}ca^{2}b^{5}$$

\frac{27c^{2}}{b^{2}}c ni yagona kasrga aylantiring.

$$\frac{27c^{2}c}{b^{2}}a^{2}b^{5}$$

\frac{27c^{2}c}{b^{2}}a^{2} ni yagona kasrga aylantiring.

$$\frac{27c^{2}ca^{2}}{b^{2}}b^{5}$$

\frac{27c^{2}ca^{2}}{b^{2}}b^{5} ni yagona kasrga aylantiring.

$$\frac{27c^{2}ca^{2}b^{5}}{b^{2}}$$

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

$$27ca^{2}c^{2}b^{3}$$

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

$$27c^{3}a^{2}b^{3}$$

Kengaytirish

$$27a^{2}\left(bc\right)^{3}$$

Yechim qadamlari

a^{7}b^{6} ni \frac{a^{5}b}{3c} ga bo'lish a^{7}b^{6} ga k'paytirish \frac{a^{5}b}{3c} ga qaytarish.

$$\frac{a^{7}b^{6}\times 3c}{a^{5}b}\times \left(\frac{3c}{b}\right)^{2}$$

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

$$3ca^{2}b^{5}\times \left(\frac{3c}{b}\right)^{2}$$

\frac{3c}{b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$3ca^{2}b^{5}\times \frac{\left(3c\right)^{2}}{b^{2}}$$

3\times \frac{\left(3c\right)^{2}}{b^{2}} ni yagona kasrga aylantiring.

$$\frac{3\times \left(3c\right)^{2}}{b^{2}}ca^{2}b^{5}$$

\left(3c\right)^{2} ni kengaytirish.

$$\frac{3\times 3^{2}c^{2}}{b^{2}}ca^{2}b^{5}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{3\times 9c^{2}}{b^{2}}ca^{2}b^{5}$$

27 hosil qilish uchun 3 va 9 ni ko'paytirish.

$$\frac{27c^{2}}{b^{2}}ca^{2}b^{5}$$

\frac{27c^{2}}{b^{2}}c ni yagona kasrga aylantiring.

$$\frac{27c^{2}c}{b^{2}}a^{2}b^{5}$$

\frac{27c^{2}c}{b^{2}}a^{2} ni yagona kasrga aylantiring.

$$\frac{27c^{2}ca^{2}}{b^{2}}b^{5}$$

\frac{27c^{2}ca^{2}}{b^{2}}b^{5} ni yagona kasrga aylantiring.

$$\frac{27c^{2}ca^{2}b^{5}}{b^{2}}$$

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

$$27ca^{2}c^{2}b^{3}$$

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

$$27c^{3}a^{2}b^{3}$$