(s^{-2}t^2)^2(8^2t^3) eching

$$( s ^ { - 2 } t ^ { 2 } ) ^ { 2 } ( 8 ^ { 2 } t ^ { 3 } )$$

Baholash

$$\frac{64t^{7}}{s^{4}}$$

Yechim qadamlari

\left(s^{-2}t^{2}\right)^{2} ni kengaytirish.

$$\left(s^{-2}\right)^{2}\left(t^{2}\right)^{2}\times 8^{2}t^{3}$$

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

$$s^{-4}\left(t^{2}\right)^{2}\times 8^{2}t^{3}$$

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

$$s^{-4}t^{4}\times 8^{2}t^{3}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$s^{-4}t^{4}\times 64t^{3}$$

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

$$s^{-4}t^{7}\times 64$$

Kengaytirish

$$\frac{64t^{7}}{s^{4}}$$

Yechim qadamlari

\left(s^{-2}t^{2}\right)^{2} ni kengaytirish.

$$\left(s^{-2}\right)^{2}\left(t^{2}\right)^{2}\times 8^{2}t^{3}$$

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

$$s^{-4}\left(t^{2}\right)^{2}\times 8^{2}t^{3}$$

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

$$s^{-4}t^{4}\times 8^{2}t^{3}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$s^{-4}t^{4}\times 64t^{3}$$

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

$$s^{-4}t^{7}\times 64$$