(-2w^3x^-6)^5 eching

$$( - 2 w ^ { 3 } x ^ { - 6 } ) ^ { 5 }$$

Baholash

$$-\frac{32w^{15}}{x^{30}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-2w^{3}x^{-6}\right)^{5}$$

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

$$\left(-2\right)^{5}\left(w^{3}\right)^{5}\left(x^{-6}\right)^{5}$$

-2 ni 5 daraja ko'rsatgichiga oshirish.

$$-32\left(w^{3}\right)^{5}\left(x^{-6}\right)^{5}$$

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

$$-32w^{3\times 5}x^{-6\times 5}$$

3 ni 5 marotabaga ko'paytirish.

$$-32w^{15}x^{-6\times 5}$$

-6 ni 5 marotabaga ko'paytirish.

$$-32w^{15}\times \frac{1}{x^{30}}$$

Kengaytirish

$$-\frac{32w^{15}}{x^{30}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-2w^{3}x^{-6}\right)^{5}$$

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

$$\left(-2\right)^{5}\left(w^{3}\right)^{5}\left(x^{-6}\right)^{5}$$

-2 ni 5 daraja ko'rsatgichiga oshirish.

$$-32\left(w^{3}\right)^{5}\left(x^{-6}\right)^{5}$$

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

$$-32w^{3\times 5}x^{-6\times 5}$$

3 ni 5 marotabaga ko'paytirish.

$$-32w^{15}x^{-6\times 5}$$

-6 ni 5 marotabaga ko'paytirish.

$$-32w^{15}\times \frac{1}{x^{30}}$$