frac{(3e^{2}f)^{3}*(3ef^2)^2}{8e^2f^3} eching

$$\frac { ( 3 e ^ { 2 } f ) ^ { 3 } \times ( 3 e f ^ { 2 } ) ^ { 2 } } { 8 e ^ { 2 } f ^ { 3 } }$$

Baholash

$$\frac{243e^{6}f^{4}}{8}$$

Yechim qadamlari

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

$$\frac{3^{3}\left(e^{2}\right)^{3}f^{3}\times \left(3ef^{2}\right)^{2}}{8e^{2}f^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{3^{3}e^{6}f^{3}\times \left(3ef^{2}\right)^{2}}{8e^{2}f^{3}}$$

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

$$\frac{27e^{6}f^{3}\times \left(3ef^{2}\right)^{2}}{8e^{2}f^{3}}$$

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

$$\frac{27e^{6}f^{3}\times 3^{2}e^{2}\left(f^{2}\right)^{2}}{8e^{2}f^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{27e^{6}f^{3}\times 3^{2}e^{2}f^{4}}{8e^{2}f^{3}}$$

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

$$\frac{27e^{6}f^{3}\times 9e^{2}f^{4}}{8e^{2}f^{3}}$$

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

$$\frac{243e^{6}f^{3}e^{2}f^{4}}{8e^{2}f^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$\frac{243e^{8}f^{3}f^{4}}{8e^{2}f^{3}}$$

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

$$\frac{243e^{8}f^{7}}{8e^{2}f^{3}}$$

Surat va maxrajdagi ikkala e^{2}f^{3} ni qisqartiring.

$$\frac{243e^{6}f^{4}}{8}$$

Kengaytirish

$$\frac{243e^{6}f^{4}}{8}$$

Yechim qadamlari

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

$$\frac{3^{3}\left(e^{2}\right)^{3}f^{3}\times \left(3ef^{2}\right)^{2}}{8e^{2}f^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{3^{3}e^{6}f^{3}\times \left(3ef^{2}\right)^{2}}{8e^{2}f^{3}}$$

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

$$\frac{27e^{6}f^{3}\times \left(3ef^{2}\right)^{2}}{8e^{2}f^{3}}$$

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

$$\frac{27e^{6}f^{3}\times 3^{2}e^{2}\left(f^{2}\right)^{2}}{8e^{2}f^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{27e^{6}f^{3}\times 3^{2}e^{2}f^{4}}{8e^{2}f^{3}}$$

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

$$\frac{27e^{6}f^{3}\times 9e^{2}f^{4}}{8e^{2}f^{3}}$$

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

$$\frac{243e^{6}f^{3}e^{2}f^{4}}{8e^{2}f^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$\frac{243e^{8}f^{3}f^{4}}{8e^{2}f^{3}}$$

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

$$\frac{243e^{8}f^{7}}{8e^{2}f^{3}}$$

Surat va maxrajdagi ikkala e^{2}f^{3} ni qisqartiring.

$$\frac{243e^{6}f^{4}}{8}$$