(-3/2a^{3}b^{2})^4*(-2/3a^2b^3)^3 eching

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

Baholash

$$-\frac{3b^{17}a^{18}}{2}$$

Yechim qadamlari

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$\left(-\frac{3}{2}a^{3}b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

\left(-\frac{3}{2}a^{3}b^{2}\right)^{4} ni kengaytirish.

$$\left(-\frac{3}{2}\right)^{4}\left(a^{3}\right)^{4}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.

$$\left(-\frac{3}{2}\right)^{4}a^{12}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

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

$$\left(-\frac{3}{2}\right)^{4}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

4 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va \frac{81}{16} ni qiymatni oling.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

\left(-\frac{2}{3}a^{2}b^{3}\right)^{3} ni kengaytirish.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}\left(a^{2}\right)^{3}\left(b^{3}\right)^{3}$$

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

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}\left(b^{3}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}b^{9}$$

3 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{8}{27} ni qiymatni oling.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{8}{27}\right)a^{6}b^{9}$$

-\frac{3}{2} hosil qilish uchun \frac{81}{16} va -\frac{8}{27} ni ko'paytirish.

$$-\frac{3}{2}a^{12}b^{8}a^{6}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 6 ni qo‘shib, 18 ni oling.

$$-\frac{3}{2}a^{18}b^{8}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 9 ni qo‘shib, 17 ni oling.

$$-\frac{3}{2}a^{18}b^{17}$$

Kengaytirish

$$-\frac{3b^{17}a^{18}}{2}$$

Yechim qadamlari

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$\left(-\frac{3}{2}a^{3}b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

\left(-\frac{3}{2}a^{3}b^{2}\right)^{4} ni kengaytirish.

$$\left(-\frac{3}{2}\right)^{4}\left(a^{3}\right)^{4}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.

$$\left(-\frac{3}{2}\right)^{4}a^{12}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

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

$$\left(-\frac{3}{2}\right)^{4}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

4 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va \frac{81}{16} ni qiymatni oling.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}$$

\left(-\frac{2}{3}a^{2}b^{3}\right)^{3} ni kengaytirish.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}\left(a^{2}\right)^{3}\left(b^{3}\right)^{3}$$

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

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}\left(b^{3}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}b^{9}$$

3 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{8}{27} ni qiymatni oling.

$$\frac{81}{16}a^{12}b^{8}\left(-\frac{8}{27}\right)a^{6}b^{9}$$

-\frac{3}{2} hosil qilish uchun \frac{81}{16} va -\frac{8}{27} ni ko'paytirish.

$$-\frac{3}{2}a^{12}b^{8}a^{6}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 6 ni qo‘shib, 18 ni oling.

$$-\frac{3}{2}a^{18}b^{8}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 9 ni qo‘shib, 17 ni oling.

$$-\frac{3}{2}a^{18}b^{17}$$