-8x^4:(-4x^3)= eching

$$- 8 x ^ { 4 } : ( - 4 x ^ { 3 } ) =$$

Baholash

$$2x$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-8x^{4}\right)^{1}\times \frac{1}{-4x^{3}}$$

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

$$\left(-8\right)^{1}\left(x^{4}\right)^{1}\times \frac{1}{-4}\times \frac{1}{x^{3}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$\left(-8\right)^{1}\times \frac{1}{-4}\left(x^{4}\right)^{1}\times \frac{1}{x^{3}}$$

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

$$\left(-8\right)^{1}\times \frac{1}{-4}x^{4}x^{3\left(-1\right)}$$

3 ni -1 marotabaga ko'paytirish.

$$\left(-8\right)^{1}\times \frac{1}{-4}x^{4}x^{-3}$$

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

$$\left(-8\right)^{1}\times \frac{1}{-4}x^{4-3}$$

4 va -3 belgilarini qo'shish.

$$\left(-8\right)^{1}\times \frac{1}{-4}x^{1}$$

-8 ni 1 daraja ko'rsatgichiga oshirish.

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

-4 ni -1 daraja ko'rsatgichiga oshirish.

$$-8\left(-\frac{1}{4}\right)x^{1}$$

-8 ni -\frac{1}{4} marotabaga ko'paytirish.

$$2x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$2x$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-8\right)^{1}x^{4}}{\left(-4\right)^{1}x^{3}}$$

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

$$\frac{\left(-8\right)^{1}x^{4-3}}{\left(-4\right)^{1}}$$

4 dan 3 ni ayirish.

$$\frac{\left(-8\right)^{1}x^{1}}{\left(-4\right)^{1}}$$

-8 ni -4 ga bo'lish.

$$2x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$2x$$

x ga nisbatan hosilani topish

$$2$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{8}{-4}\right)x^{4-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1})$$

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

$$2x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$2x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$2\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$2$$