(-18x^4):(6x^3)= eching

$$( - 18 x ^ { 4 } ) : ( 6 x ^ { 3 } ) =$$

Baholash

$$-3x$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-18x^{4}\right)^{1}\times \frac{1}{6x^{3}}$$

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

$$\left(-18\right)^{1}\left(x^{4}\right)^{1}\times \frac{1}{6}\times \frac{1}{x^{3}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$\left(-18\right)^{1}\times \frac{1}{6}\left(x^{4}\right)^{1}\times \frac{1}{x^{3}}$$

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

$$\left(-18\right)^{1}\times \frac{1}{6}x^{4}x^{3\left(-1\right)}$$

3 ni -1 marotabaga ko'paytirish.

$$\left(-18\right)^{1}\times \frac{1}{6}x^{4}x^{-3}$$

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

$$\left(-18\right)^{1}\times \frac{1}{6}x^{4-3}$$

4 va -3 belgilarini qo'shish.

$$\left(-18\right)^{1}\times \frac{1}{6}x^{1}$$

-18 ni 1 daraja ko'rsatgichiga oshirish.

$$-18\times \frac{1}{6}x^{1}$$

-18 ni \frac{1}{6} marotabaga ko'paytirish.

$$-3x^{1}$$

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

$$-3x$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-18\right)^{1}x^{4}}{6^{1}x^{3}}$$

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

$$\frac{\left(-18\right)^{1}x^{4-3}}{6^{1}}$$

4 dan 3 ni ayirish.

$$\frac{\left(-18\right)^{1}x^{1}}{6^{1}}$$

-18 ni 6 ga bo'lish.

$$-3x^{1}$$

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

$$-3x$$

x ga nisbatan hosilani topish

$$-3$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{18}{6}\right)x^{4-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x^{1})$$

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

$$-3x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$-3x^{0}$$

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

$$-3$$