10x^8/5x^2 eching

$$\frac { 10 x ^ { 8 } } { 5 x ^ { 2 } }$$

Baholash

$$2x^{6}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(10x^{8}\right)^{1}\times \frac{1}{5x^{2}}$$

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

$$10^{1}\left(x^{8}\right)^{1}\times \frac{1}{5}\times \frac{1}{x^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$10^{1}\times \frac{1}{5}\left(x^{8}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$10^{1}\times \frac{1}{5}x^{8}x^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$10^{1}\times \frac{1}{5}x^{8}x^{-2}$$

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

$$10^{1}\times \frac{1}{5}x^{8-2}$$

8 va -2 belgilarini qo'shish.

$$10^{1}\times \frac{1}{5}x^{6}$$

10 ni 1 daraja ko'rsatgichiga oshirish.

$$10\times \frac{1}{5}x^{6}$$

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

$$2x^{6}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{10^{1}x^{8}}{5^{1}x^{2}}$$

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

$$\frac{10^{1}x^{8-2}}{5^{1}}$$

8 dan 2 ni ayirish.

$$\frac{10^{1}x^{6}}{5^{1}}$$

10 ni 5 ga bo'lish.

$$2x^{6}$$

x ga nisbatan hosilani topish

$$12x^{5}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10}{5}x^{8-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{6})$$

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

$$6\times 2x^{6-1}$$

Arifmetik hisobni amalga oshirish.

$$12x^{5}$$