2b^3/-6b^9= eching

$$\frac { 2 b ^ { 3 } } { - 6 b ^ { 9 } } =$$

Baholash

$$-\frac{1}{3b^{6}}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(2b^{3}\right)^{1}\times \frac{1}{-6b^{9}}$$

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

$$2^{1}\left(b^{3}\right)^{1}\times \frac{1}{-6}\times \frac{1}{b^{9}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$2^{1}\times \frac{1}{-6}\left(b^{3}\right)^{1}\times \frac{1}{b^{9}}$$

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

$$2^{1}\times \frac{1}{-6}b^{3}b^{9\left(-1\right)}$$

9 ni -1 marotabaga ko'paytirish.

$$2^{1}\times \frac{1}{-6}b^{3}b^{-9}$$

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

$$2^{1}\times \frac{1}{-6}b^{3-9}$$

3 va -9 belgilarini qo'shish.

$$2^{1}\times \frac{1}{-6}b^{-6}$$

2 ni 1 daraja ko'rsatgichiga oshirish.

$$2\times \frac{1}{-6}b^{-6}$$

-6 ni -1 daraja ko'rsatgichiga oshirish.

$$2\left(-\frac{1}{6}\right)b^{-6}$$

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

$$-\frac{1}{3}b^{-6}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{2^{1}b^{3}}{\left(-6\right)^{1}b^{9}}$$

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

$$\frac{2^{1}b^{3-9}}{\left(-6\right)^{1}}$$

3 dan 9 ni ayirish.

$$\frac{2^{1}b^{-6}}{\left(-6\right)^{1}}$$

\frac{2}{-6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{3}b^{-6}$$

b ga nisbatan hosilani topish

$$\frac{2}{b^{7}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{2}{-6}b^{3-9})$$

Arifmetik hisobni amalga oshirish.

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

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

$$-6\left(-\frac{1}{3}\right)b^{-6-1}$$

Arifmetik hisobni amalga oshirish.

$$2b^{-7}$$