(m^-3)^-2 eching

$$( m ^ { - 3 } ) ^ { - 2 }$$

Baholash

$$m^{6}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(m^{-3}\right)^{-2}$$

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

$$m^{-3\left(-2\right)}$$

-3 ni -2 marotabaga ko'paytirish.

$$m^{6}$$

m ga nisbatan hosilani topish

$$6m^{5}$$

Zanjirli qoidadan foydalanish qadamalari

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.

$$-2\left(m^{-3}\right)^{-2-1}\frac{\mathrm{d}}{\mathrm{d}m}(m^{-3})$$

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

$$-2\left(m^{-3}\right)^{-3}\left(-3\right)m^{-3-1}$$

Qisqartirish.

$$6m^{-4}\left(m^{-3}\right)^{-3}$$