frac{(-7)^{-2}*3^{-1}*11^{-2}*a^-4}{22^-4*21^-3*a^-6} eching

$$\frac { ( - 7 ) ^ { - 2 } \times 3 ^ { - 1 } \times 11 ^ { - 2 } \times a ^ { - 4 } } { 22 ^ { - 4 } \times 21 ^ { - 3 } \times a ^ { - 6 } }$$

Baholash

$$121968a^{2}$$

Yechim qadamlari

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

$$\frac{\left(-7\right)^{-2}\times 11^{-2}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

-2 daraja ko‘rsatkichini -7 ga hisoblang va \frac{1}{49} ni qiymatni oling.

$$\frac{\frac{1}{49}\times 11^{-2}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

-2 daraja ko‘rsatkichini 11 ga hisoblang va \frac{1}{121} ni qiymatni oling.

$$\frac{\frac{1}{49}\times \frac{1}{121}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

\frac{1}{5929} hosil qilish uchun \frac{1}{49} va \frac{1}{121} ni ko'paytirish.

$$\frac{\frac{1}{5929}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

\frac{1}{17787} hosil qilish uchun \frac{1}{5929} va \frac{1}{3} ni ko'paytirish.

$$\frac{\frac{1}{17787}a^{2}}{21^{-3}\times 22^{-4}}$$

-3 daraja ko‘rsatkichini 21 ga hisoblang va \frac{1}{9261} ni qiymatni oling.

$$\frac{\frac{1}{17787}a^{2}}{\frac{1}{9261}\times 22^{-4}}$$

-4 daraja ko‘rsatkichini 22 ga hisoblang va \frac{1}{234256} ni qiymatni oling.

$$\frac{\frac{1}{17787}a^{2}}{\frac{1}{9261}\times \frac{1}{234256}}$$

\frac{1}{2169444816} hosil qilish uchun \frac{1}{9261} va \frac{1}{234256} ni ko'paytirish.

$$\frac{\frac{1}{17787}a^{2}}{\frac{1}{2169444816}}$$

\frac{1}{17787}a^{2} ni \frac{1}{2169444816} ga bo'lish \frac{1}{17787}a^{2} ga k'paytirish \frac{1}{2169444816} ga qaytarish.

$$\frac{1}{17787}a^{2}\times 2169444816$$

121968 hosil qilish uchun \frac{1}{17787} va 2169444816 ni ko'paytirish.

$$121968a^{2}$$

a ga nisbatan hosilani topish

$$243936a$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{\frac{1}{17787}}{\frac{1}{2169444816}}a^{-4-\left(-6\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(121968a^{2})$$

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

$$2\times 121968a^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$243936a^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$243936a$$