(2a^4b^5/6b^2)^3 eching

$$( \frac { 2 a ^ { 4 } b ^ { 5 } } { 6 b ^ { 2 } } ) ^ { 3 }$$

Baholash

$$\frac{b^{9}a^{12}}{27}$$

Yechim qadamlari

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

$$\left(\frac{b^{3}a^{4}}{3}\right)^{3}$$

\frac{b^{3}a^{4}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(b^{3}a^{4}\right)^{3}}{3^{3}}$$

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

$$\frac{\left(b^{3}\right)^{3}\left(a^{4}\right)^{3}}{3^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{b^{9}\left(a^{4}\right)^{3}}{3^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.

$$\frac{b^{9}a^{12}}{3^{3}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{b^{9}a^{12}}{27}$$

Kengaytirish

$$\frac{b^{9}a^{12}}{27}$$

Yechim qadamlari

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

$$\left(\frac{b^{3}a^{4}}{3}\right)^{3}$$

\frac{b^{3}a^{4}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(b^{3}a^{4}\right)^{3}}{3^{3}}$$

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

$$\frac{\left(b^{3}\right)^{3}\left(a^{4}\right)^{3}}{3^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{b^{9}\left(a^{4}\right)^{3}}{3^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.

$$\frac{b^{9}a^{12}}{3^{3}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{b^{9}a^{12}}{27}$$