a^{3}*(-b^{3})^2+(-2ab^2)^4div(-2ab^2) eching

$$a ^ { 3 } \cdot ( - b ^ { 3 } ) ^ { 2 } + ( - 2 a b ^ { 2 } ) ^ { 4 } \div ( - 2 a b ^ { 2 } )$$

Baholash

$$-7a^{3}b^{6}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 4 dan 1 ni ayirib, 3 ni oling.

$$a^{3}\left(-b^{3}\right)^{2}+\left(-2ab^{2}\right)^{3}$$

2 daraja ko‘rsatkichini -b^{3} ga hisoblang va \left(b^{3}\right)^{2} ni qiymatni oling.

$$a^{3}\left(b^{3}\right)^{2}+\left(-2ab^{2}\right)^{3}$$

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

$$a^{3}\left(b^{3}\right)^{2}+\left(-2\right)^{3}a^{3}\left(b^{2}\right)^{3}$$

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

$$a^{3}\left(b^{3}\right)^{2}+\left(-2\right)^{3}a^{3}b^{6}$$

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

$$a^{3}\left(b^{3}\right)^{2}-8a^{3}b^{6}$$

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

$$a^{3}b^{6}-8a^{3}b^{6}$$

-7a^{3}b^{6} ni olish uchun a^{3}b^{6} va -8a^{3}b^{6} ni birlashtirish.

$$-7a^{3}b^{6}$$

Kengaytirish

$$-7a^{3}b^{6}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 4 dan 1 ni ayirib, 3 ni oling.

$$a^{3}\left(-b^{3}\right)^{2}+\left(-2ab^{2}\right)^{3}$$

2 daraja ko‘rsatkichini -b^{3} ga hisoblang va \left(b^{3}\right)^{2} ni qiymatni oling.

$$a^{3}\left(b^{3}\right)^{2}+\left(-2ab^{2}\right)^{3}$$

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

$$a^{3}\left(b^{3}\right)^{2}+\left(-2\right)^{3}a^{3}\left(b^{2}\right)^{3}$$

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

$$a^{3}\left(b^{3}\right)^{2}+\left(-2\right)^{3}a^{3}b^{6}$$

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

$$a^{3}\left(b^{3}\right)^{2}-8a^{3}b^{6}$$

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

$$a^{3}b^{6}-8a^{3}b^{6}$$

-7a^{3}b^{6} ni olish uchun a^{3}b^{6} va -8a^{3}b^{6} ni birlashtirish.

$$-7a^{3}b^{6}$$