(-2R^{2}s)^5(3R^-1s^3)^2 eching

$$( - 2 R ^ { 2 } s ) ^ { 5 } ( 3 R ^ { - 1 } s ^ { 3 } ) ^ { 2 }$$

Baholash

$$-288R^{8}s^{11}$$

Yechim qadamlari

\left(-2R^{2}s\right)^{5} ni kengaytirish.

$$\left(-2\right)^{5}\left(R^{2}\right)^{5}s^{5}\times \left(3R^{-1}s^{3}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.

$$\left(-2\right)^{5}R^{10}s^{5}\times \left(3R^{-1}s^{3}\right)^{2}$$

5 daraja ko‘rsatkichini -2 ga hisoblang va -32 ni qiymatni oling.

$$-32R^{10}s^{5}\times \left(3R^{-1}s^{3}\right)^{2}$$

\left(3R^{-1}s^{3}\right)^{2} ni kengaytirish.

$$-32R^{10}s^{5}\times 3^{2}\left(R^{-1}\right)^{2}\left(s^{3}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 2 ni ko‘paytirib, -2 ni oling.

$$-32R^{10}s^{5}\times 3^{2}R^{-2}\left(s^{3}\right)^{2}$$

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

$$-32R^{10}s^{5}\times 3^{2}R^{-2}s^{6}$$

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

$$-32R^{10}s^{5}\times 9R^{-2}s^{6}$$

-288 hosil qilish uchun -32 va 9 ni ko'paytirish.

$$-288R^{10}s^{5}R^{-2}s^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va -2 ni qo‘shib, 8 ni oling.

$$-288R^{8}s^{5}s^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 6 ni qo‘shib, 11 ni oling.

$$-288R^{8}s^{11}$$

Kengaytirish

$$-288R^{8}s^{11}$$

Yechim qadamlari

\left(-2R^{2}s\right)^{5} ni kengaytirish.

$$\left(-2\right)^{5}\left(R^{2}\right)^{5}s^{5}\times \left(3R^{-1}s^{3}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.

$$\left(-2\right)^{5}R^{10}s^{5}\times \left(3R^{-1}s^{3}\right)^{2}$$

5 daraja ko‘rsatkichini -2 ga hisoblang va -32 ni qiymatni oling.

$$-32R^{10}s^{5}\times \left(3R^{-1}s^{3}\right)^{2}$$

\left(3R^{-1}s^{3}\right)^{2} ni kengaytirish.

$$-32R^{10}s^{5}\times 3^{2}\left(R^{-1}\right)^{2}\left(s^{3}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 2 ni ko‘paytirib, -2 ni oling.

$$-32R^{10}s^{5}\times 3^{2}R^{-2}\left(s^{3}\right)^{2}$$

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

$$-32R^{10}s^{5}\times 3^{2}R^{-2}s^{6}$$

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

$$-32R^{10}s^{5}\times 9R^{-2}s^{6}$$

-288 hosil qilish uchun -32 va 9 ni ko'paytirish.

$$-288R^{10}s^{5}R^{-2}s^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va -2 ni qo‘shib, 8 ni oling.

$$-288R^{8}s^{5}s^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 6 ni qo‘shib, 11 ni oling.

$$-288R^{8}s^{11}$$