8x^6/2x^2= eching

$$\frac { 8 x ^ { 6 } } { 2 x ^ { 2 } } =$$

Baholash

$$4x^{4}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(8x^{6}\right)^{1}\times \frac{1}{2x^{2}}$$

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

$$8^{1}\left(x^{6}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$8^{1}\times \frac{1}{2}\left(x^{6}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$8^{1}\times \frac{1}{2}x^{6}x^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$8^{1}\times \frac{1}{2}x^{6}x^{-2}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$8^{1}\times \frac{1}{2}x^{6-2}$$

6 va -2 belgilarini qo'shish.

$$8^{1}\times \frac{1}{2}x^{4}$$

8 ni 1 daraja ko'rsatgichiga oshirish.

$$8\times \frac{1}{2}x^{4}$$

8 ni \frac{1}{2} marotabaga ko'paytirish.

$$4x^{4}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{8^{1}x^{6}}{2^{1}x^{2}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{8^{1}x^{6-2}}{2^{1}}$$

6 dan 2 ni ayirish.

$$\frac{8^{1}x^{4}}{2^{1}}$$

8 ni 2 ga bo'lish.

$$4x^{4}$$

x ga nisbatan hosilani topish

$$16x^{3}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{2}x^{6-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$4\times 4x^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$16x^{3}$$