45w^7/5w^3 eching

$$\frac { 45 w ^ { 7 } } { 5 w ^ { 3 } }$$

Baholash

$$9w^{4}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(45w^{7}\right)^{1}\times \frac{1}{5w^{3}}$$

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

$$45^{1}\left(w^{7}\right)^{1}\times \frac{1}{5}\times \frac{1}{w^{3}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$45^{1}\times \frac{1}{5}\left(w^{7}\right)^{1}\times \frac{1}{w^{3}}$$

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

$$45^{1}\times \frac{1}{5}w^{7}w^{3\left(-1\right)}$$

3 ni -1 marotabaga ko'paytirish.

$$45^{1}\times \frac{1}{5}w^{7}w^{-3}$$

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

$$45^{1}\times \frac{1}{5}w^{7-3}$$

7 va -3 belgilarini qo'shish.

$$45^{1}\times \frac{1}{5}w^{4}$$

45 ni 1 daraja ko'rsatgichiga oshirish.

$$45\times \frac{1}{5}w^{4}$$

45 ni \frac{1}{5} marotabaga ko'paytirish.

$$9w^{4}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{45^{1}w^{7}}{5^{1}w^{3}}$$

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

$$\frac{45^{1}w^{7-3}}{5^{1}}$$

7 dan 3 ni ayirish.

$$\frac{45^{1}w^{4}}{5^{1}}$$

45 ni 5 ga bo'lish.

$$9w^{4}$$

w ga nisbatan hosilani topish

$$36w^{3}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{45}{5}w^{7-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}w}(9w^{4})$$

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

$$4\times 9w^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$36w^{3}$$