2a^6diva^3 eching

$$2 a ^ { 6 } \div a ^ { 3 }$$

Baholash

$$2a^{3}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(2a^{6}\right)^{1}\times \frac{1}{a^{3}}$$

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

$$2^{1}\left(a^{6}\right)^{1}\times \frac{1}{1}\times \frac{1}{a^{3}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$2^{1}\times \frac{1}{1}\left(a^{6}\right)^{1}\times \frac{1}{a^{3}}$$

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

$$2^{1}\times \frac{1}{1}a^{6}a^{3\left(-1\right)}$$

3 ni -1 marotabaga ko'paytirish.

$$2^{1}\times \frac{1}{1}a^{6}a^{-3}$$

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

$$2^{1}\times \frac{1}{1}a^{6-3}$$

6 va -3 belgilarini qo'shish.

$$2^{1}\times \frac{1}{1}a^{3}$$

2 ni 1 daraja ko'rsatgichiga oshirish.

$$2\times \frac{1}{1}a^{3}$$

a ga nisbatan hosilani topish

$$6a^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{1}a^{6-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{3})$$

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

$$3\times 2a^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$6a^{2}$$