frac{(-2k^{-3})^{2}(6k^2)^4}{(9k^4)^2} eching

$$\frac { ( - 2 k ^ { - 3 } ) ^ { 2 } ( 6 k ^ { 2 } ) ^ { 4 } } { ( 9 k ^ { 4 } ) ^ { 2 } }$$

Baholash

$$\frac{64}{k^{6}}$$

Yechim qadamlari

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

$$\frac{\left(-2\right)^{2}\left(k^{-3}\right)^{2}\times \left(6k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

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

$$\frac{\left(-2\right)^{2}k^{-6}\times \left(6k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4k^{-6}\times \left(6k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

\left(6k^{2}\right)^{4} ni kengaytirish.

$$\frac{4k^{-6}\times 6^{4}\left(k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$\frac{4k^{-6}\times 6^{4}k^{8}}{\left(9k^{4}\right)^{2}}$$

4 daraja ko‘rsatkichini 6 ga hisoblang va 1296 ni qiymatni oling.

$$\frac{4k^{-6}\times 1296k^{8}}{\left(9k^{4}\right)^{2}}$$

5184 hosil qilish uchun 4 va 1296 ni ko'paytirish.

$$\frac{5184k^{-6}k^{8}}{\left(9k^{4}\right)^{2}}$$

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

$$\frac{5184k^{2}}{\left(9k^{4}\right)^{2}}$$

\left(9k^{4}\right)^{2} ni kengaytirish.

$$\frac{5184k^{2}}{9^{2}\left(k^{4}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$\frac{5184k^{2}}{9^{2}k^{8}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{5184k^{2}}{81k^{8}}$$

Surat va maxrajdagi ikkala 81k^{2} ni qisqartiring.

$$\frac{64}{k^{6}}$$

Kengaytirish

$$\frac{64}{k^{6}}$$

Yechim qadamlari

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

$$\frac{\left(-2\right)^{2}\left(k^{-3}\right)^{2}\times \left(6k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

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

$$\frac{\left(-2\right)^{2}k^{-6}\times \left(6k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4k^{-6}\times \left(6k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

\left(6k^{2}\right)^{4} ni kengaytirish.

$$\frac{4k^{-6}\times 6^{4}\left(k^{2}\right)^{4}}{\left(9k^{4}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$\frac{4k^{-6}\times 6^{4}k^{8}}{\left(9k^{4}\right)^{2}}$$

4 daraja ko‘rsatkichini 6 ga hisoblang va 1296 ni qiymatni oling.

$$\frac{4k^{-6}\times 1296k^{8}}{\left(9k^{4}\right)^{2}}$$

5184 hosil qilish uchun 4 va 1296 ni ko'paytirish.

$$\frac{5184k^{-6}k^{8}}{\left(9k^{4}\right)^{2}}$$

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

$$\frac{5184k^{2}}{\left(9k^{4}\right)^{2}}$$

\left(9k^{4}\right)^{2} ni kengaytirish.

$$\frac{5184k^{2}}{9^{2}\left(k^{4}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$\frac{5184k^{2}}{9^{2}k^{8}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{5184k^{2}}{81k^{8}}$$

Surat va maxrajdagi ikkala 81k^{2} ni qisqartiring.

$$\frac{64}{k^{6}}$$