(-4w^-5x^6)^2 eching

$$( - 4 w ^ { - 5 } x ^ { 6 } ) ^ { 2 }$$

Baholash

$$\frac{16x^{12}}{w^{10}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-4w^{-5}x^{6}\right)^{2}$$

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

$$\left(-4\right)^{2}\left(w^{-5}\right)^{2}\left(x^{6}\right)^{2}$$

-4 ni 2 daraja ko'rsatgichiga oshirish.

$$16\left(w^{-5}\right)^{2}\left(x^{6}\right)^{2}$$

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

$$16w^{-5\times 2}x^{6\times 2}$$

-5 ni 2 marotabaga ko'paytirish.

$$16\times \frac{1}{w^{10}}x^{6\times 2}$$

6 ni 2 marotabaga ko'paytirish.

$$16\times \frac{1}{w^{10}}x^{12}$$

Kengaytirish

$$\frac{16x^{12}}{w^{10}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-4w^{-5}x^{6}\right)^{2}$$

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

$$\left(-4\right)^{2}\left(w^{-5}\right)^{2}\left(x^{6}\right)^{2}$$

-4 ni 2 daraja ko'rsatgichiga oshirish.

$$16\left(w^{-5}\right)^{2}\left(x^{6}\right)^{2}$$

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

$$16w^{-5\times 2}x^{6\times 2}$$

-5 ni 2 marotabaga ko'paytirish.

$$16\times \frac{1}{w^{10}}x^{6\times 2}$$

6 ni 2 marotabaga ko'paytirish.

$$16\times \frac{1}{w^{10}}x^{12}$$