(-a)^0/2a^5 eching

$$\frac { ( - a ) ^ { 0 } } { 2 a ^ { 5 } }$$

Baholash

$$\frac{1}{2a^{5}}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-a^{1}\right)^{0}\times \frac{1}{2a^{5}}$$

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

$$\left(a^{1}\right)^{0}\times \frac{1}{2}\times \frac{1}{a^{5}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$\frac{1}{2}\left(a^{1}\right)^{0}\times \frac{1}{a^{5}}$$

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

$$\frac{1}{2}a^{0}a^{5\left(-1\right)}$$

5 ni -1 marotabaga ko'paytirish.

$$\frac{1}{2}a^{0}a^{-5}$$

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

$$\frac{1}{2}a^{-5}$$

a ga nisbatan hosilani topish

$$-\frac{5}{2a^{6}}$$

Zanjirli qoidadan foydalanish qadamalari

0 daraja ko‘rsatkichini -a ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{2a^{5}})$$

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$-\left(2a^{5}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}a}(2a^{5})$$

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

$$-\left(2a^{5}\right)^{-2}\times 5\times 2a^{5-1}$$

Qisqartirish.

$$-10a^{4}\times \left(2a^{5}\right)^{-2}$$