(frac{3g^{5}h^{-7}}{4g^{2}h^3})10g^-2h^5/11gh^-2 eching

$$( \frac { 3 g ^ { 5 } h ^ { - 7 } } { 4 g ^ { 2 } h ^ { 3 } } ) \frac { 10 g ^ { - 2 } h ^ { 5 } } { 11 g h ^ { - 2 } }$$

Baholash

$$\frac{15}{22h^{3}}$$

Yechim qadamlari

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

$$\frac{3h^{-7}g^{3}}{4h^{3}}\times \frac{10g^{-2}h^{5}}{11gh^{-2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{3g^{3}}{4h^{10}}\times \frac{10g^{-2}h^{5}}{11gh^{-2}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{3g^{3}}{4h^{10}}\times \frac{10g^{-2}h^{7}}{11g}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{3g^{3}}{4h^{10}}\times \frac{10h^{7}}{11g^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3g^{3}}{4h^{10}} ni \frac{10h^{7}}{11g^{3}} ga ko‘paytiring.

$$\frac{3g^{3}\times 10h^{7}}{4h^{10}\times 11g^{3}}$$

Surat va maxrajdagi ikkala 2g^{3}h^{7} ni qisqartiring.

$$\frac{3\times 5}{2\times 11h^{3}}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{15}{2\times 11h^{3}}$$

22 hosil qilish uchun 2 va 11 ni ko'paytirish.

$$\frac{15}{22h^{3}}$$

h ga nisbatan hosilani topish

$$-\frac{45}{22h^{4}}$$