frac{4a^{4}b^-5}{4^-1a^-4b^3}= eching

$$\frac { 4 a ^ { 4 } b ^ { - 5 } } { 4 ^ { - 1 } a ^ { - 4 } b ^ { 3 } } =$$

Baholash

$$16\times \left(\frac{a}{b}\right)^{8}$$

Yechim qadamlari

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

$$\frac{4^{2}b^{-5}a^{8}}{b^{3}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{4^{2}a^{8}}{b^{8}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{16a^{8}}{b^{8}}$$

a ga nisbatan hosilani topish

$$\frac{128a^{7}}{b^{8}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4}{b^{5}\times \frac{b^{3}}{4}}a^{4-\left(-4\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{16}{b^{8}}a^{8})$$

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

$$8\times \frac{16}{b^{8}}a^{8-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{128}{b^{8}}a^{7}$$