frac{(5gh^{3})^2*3g^3}{8g^7h^4} eching

$$\frac { ( 5 g h ^ { 3 } ) ^ { 2 } \times 3 g ^ { 3 } } { 8 g ^ { 7 } h ^ { 4 } }$$

Baholash

$$\frac{75\times \left(\frac{h}{g}\right)^{2}}{8}$$

Yechim qadamlari

Surat va maxrajdagi ikkala g^{3} ni qisqartiring.

$$\frac{3\times \left(5gh^{3}\right)^{2}}{8g^{4}h^{4}}$$

\left(5gh^{3}\right)^{2} ni kengaytirish.

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

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

$$\frac{3\times 5^{2}g^{2}h^{6}}{8g^{4}h^{4}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{3\times 25g^{2}h^{6}}{8g^{4}h^{4}}$$

75 hosil qilish uchun 3 va 25 ni ko'paytirish.

$$\frac{75g^{2}h^{6}}{8g^{4}h^{4}}$$

Surat va maxrajdagi ikkala g^{2}h^{4} ni qisqartiring.

$$\frac{75h^{2}}{8g^{2}}$$

Kengaytirish

$$\frac{75\times \left(\frac{h}{g}\right)^{2}}{8}$$

Yechim qadamlari

Surat va maxrajdagi ikkala g^{3} ni qisqartiring.

$$\frac{3\times \left(5gh^{3}\right)^{2}}{8g^{4}h^{4}}$$

\left(5gh^{3}\right)^{2} ni kengaytirish.

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

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

$$\frac{3\times 5^{2}g^{2}h^{6}}{8g^{4}h^{4}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{3\times 25g^{2}h^{6}}{8g^{4}h^{4}}$$

75 hosil qilish uchun 3 va 25 ni ko'paytirish.

$$\frac{75g^{2}h^{6}}{8g^{4}h^{4}}$$

Surat va maxrajdagi ikkala g^{2}h^{4} ni qisqartiring.

$$\frac{75h^{2}}{8g^{2}}$$