6m^9/3m^2 eching

$$\frac { 6 m ^ { 9 } } { 3 m ^ { 2 } }$$

Baholash

$$2m^{7}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

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

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

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

Ko'paytirishning kommutativ xususiyatidan foydalanish.

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

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

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

2 ni -1 marotabaga ko'paytirish.

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

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

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

9 va -2 belgilarini qo'shish.

$$6^{1}\times \frac{1}{3}m^{7}$$

6 ni 1 daraja ko'rsatgichiga oshirish.

$$6\times \frac{1}{3}m^{7}$$

6 ni \frac{1}{3} marotabaga ko'paytirish.

$$2m^{7}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{6^{1}m^{9}}{3^{1}m^{2}}$$

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

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

9 dan 2 ni ayirish.

$$\frac{6^{1}m^{7}}{3^{1}}$$

6 ni 3 ga bo'lish.

$$2m^{7}$$

m ga nisbatan hosilani topish

$$14m^{6}$$

Yechim qadamlari

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

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

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{7})$$

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

$$7\times 2m^{7-1}$$

Arifmetik hisobni amalga oshirish.

$$14m^{6}$$