10x^10/2x^7 eching

$$\frac { 10 x ^ { 10 } } { 2 x ^ { 7 } }$$

Baholash

$$5x^{3}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(10x^{10}\right)^{1}\times \frac{1}{2x^{7}}$$

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

$$10^{1}\left(x^{10}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{7}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$10^{1}\times \frac{1}{2}\left(x^{10}\right)^{1}\times \frac{1}{x^{7}}$$

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

$$10^{1}\times \frac{1}{2}x^{10}x^{7\left(-1\right)}$$

7 ni -1 marotabaga ko'paytirish.

$$10^{1}\times \frac{1}{2}x^{10}x^{-7}$$

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

$$10^{1}\times \frac{1}{2}x^{10-7}$$

10 va -7 belgilarini qo'shish.

$$10^{1}\times \frac{1}{2}x^{3}$$

10 ni 1 daraja ko'rsatgichiga oshirish.

$$10\times \frac{1}{2}x^{3}$$

10 ni \frac{1}{2} marotabaga ko'paytirish.

$$5x^{3}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{10^{1}x^{10}}{2^{1}x^{7}}$$

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

$$\frac{10^{1}x^{10-7}}{2^{1}}$$

10 dan 7 ni ayirish.

$$\frac{10^{1}x^{3}}{2^{1}}$$

10 ni 2 ga bo'lish.

$$5x^{3}$$

x ga nisbatan hosilani topish

$$15x^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10}{2}x^{10-7})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3})$$

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

$$3\times 5x^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$15x^{2}$$