(-3/2x^2y^5)^3 eching

$$( - \frac { 3 } { 2 } x ^ { 2 } y ^ { 5 } ) ^ { 3 }$$

Baholash

$$-\frac{27x^{6}y^{15}}{8}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-\frac{3}{2}x^{2}y^{5}\right)^{3}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$\left(-\frac{3}{2}\right)^{3}\left(x^{2}\right)^{3}\left(y^{5}\right)^{3}$$

-\frac{3}{2} ni 3 daraja ko'rsatgichiga oshirish.

$$-\frac{27}{8}\left(x^{2}\right)^{3}\left(y^{5}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$-\frac{27}{8}x^{2\times 3}y^{5\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$-\frac{27}{8}x^{6}y^{5\times 3}$$

5 ni 3 marotabaga ko'paytirish.

$$-\frac{27}{8}x^{6}y^{15}$$

Kengaytirish

$$-\frac{27x^{6}y^{15}}{8}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-\frac{3}{2}x^{2}y^{5}\right)^{3}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$\left(-\frac{3}{2}\right)^{3}\left(x^{2}\right)^{3}\left(y^{5}\right)^{3}$$

-\frac{3}{2} ni 3 daraja ko'rsatgichiga oshirish.

$$-\frac{27}{8}\left(x^{2}\right)^{3}\left(y^{5}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$-\frac{27}{8}x^{2\times 3}y^{5\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$-\frac{27}{8}x^{6}y^{5\times 3}$$

5 ni 3 marotabaga ko'paytirish.

$$-\frac{27}{8}x^{6}y^{15}$$