9m^-4/m^2 eching

$$\frac{ 9 { m }^{ -4 } }{ { m }^{ 2 } }$$

Baholash

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

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(9m^{-4}\right)^{1}\times \frac{1}{m^{2}}$$

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

$$9^{1}\left(m^{-4}\right)^{1}\times \frac{1}{1}\times \frac{1}{m^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$9^{1}\times \frac{1}{1}\left(m^{-4}\right)^{1}\times \frac{1}{m^{2}}$$

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

$$9^{1}\times \frac{1}{1}m^{-4}m^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$9^{1}\times \frac{1}{1}m^{-4}m^{-2}$$

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

$$9^{1}\times \frac{1}{1}m^{-4-2}$$

-4 va -2 belgilarini qo'shish.

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

9 ni 1 daraja ko'rsatgichiga oshirish.

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

m ga nisbatan hosilani topish

$$-\frac{54}{m^{7}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{9}{1}m^{-4-2})$$

Arifmetik hisobni amalga oshirish.

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

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

$$-6\times 9m^{-6-1}$$

Arifmetik hisobni amalga oshirish.

$$-54m^{-7}$$