(-18a^2b^2):(-6ab^2) eching

$$( - 18 a ^ { 2 } b ^ { 2 } ) : ( - 6 a b ^ { 2 } )$$

Baholash

$$3a$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-18\right)^{1}a^{2}b^{2}}{\left(-6\right)^{1}a^{1}b^{2}}$$

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

$$\frac{\left(-18\right)^{1}}{\left(-6\right)^{1}}a^{2-1}b^{2-2}$$

2 dan 1 ni ayirish.

$$\frac{\left(-18\right)^{1}}{\left(-6\right)^{1}}a^{1}b^{2-2}$$

2 dan 2 ni ayirish.

$$\frac{\left(-18\right)^{1}}{\left(-6\right)^{1}}ab^{0}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$\frac{\left(-18\right)^{1}}{\left(-6\right)^{1}}a$$

-18 ni -6 ga bo'lish.

$$3a$$

a ga nisbatan hosilani topish

$$3$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{18b^{2}}{-6b^{2}}\right)a^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a^{1})$$

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

$$3a^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$3a^{0}$$

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

$$3\times 1$$

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

$$3$$