(15a^3b^2)div(3a^2b)= eching

$$( 15 a ^ { 3 } b ^ { 2 } ) \div ( 3 a ^ { 2 } b ) =$$

Baholash

$$5ab$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{15^{1}a^{3}b^{2}}{3^{1}a^{2}b^{1}}$$

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

$$\frac{15^{1}}{3^{1}}a^{3-2}b^{2-1}$$

3 dan 2 ni ayirish.

$$\frac{15^{1}}{3^{1}}a^{1}b^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{15^{1}}{3^{1}}ab^{1}$$

15 ni 3 ga bo'lish.

$$5ab$$

a ga nisbatan hosilani topish

$$5b$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{15b^{2}}{3b}a^{3-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5ba^{1})$$

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

$$5ba^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$5ba^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$5b\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$5b$$