20x^7/5x^5 eching

$$\frac { 20 x ^ { 7 } } { 5 x ^ { 5 } }$$

Baholash

$$4x^{2}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(20x^{7}\right)^{1}\times \frac{1}{5x^{5}}$$

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

$$20^{1}\left(x^{7}\right)^{1}\times \frac{1}{5}\times \frac{1}{x^{5}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$20^{1}\times \frac{1}{5}\left(x^{7}\right)^{1}\times \frac{1}{x^{5}}$$

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

$$20^{1}\times \frac{1}{5}x^{7}x^{5\left(-1\right)}$$

5 ni -1 marotabaga ko'paytirish.

$$20^{1}\times \frac{1}{5}x^{7}x^{-5}$$

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

$$20^{1}\times \frac{1}{5}x^{7-5}$$

7 va -5 belgilarini qo'shish.

$$20^{1}\times \frac{1}{5}x^{2}$$

20 ni 1 daraja ko'rsatgichiga oshirish.

$$20\times \frac{1}{5}x^{2}$$

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

$$4x^{2}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{20^{1}x^{7}}{5^{1}x^{5}}$$

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

$$\frac{20^{1}x^{7-5}}{5^{1}}$$

7 dan 5 ni ayirish.

$$\frac{20^{1}x^{2}}{5^{1}}$$

20 ni 5 ga bo'lish.

$$4x^{2}$$

x ga nisbatan hosilani topish

$$8x$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20}{5}x^{7-5})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2})$$

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

$$2\times 4x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$8x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$8x$$