frac{[(-3)^{8}]^3*[(-3)^3]}{(-3)^3-(-3)^0} eching

$$\frac { [ ( - 3 ) ^ { 8 } ] ^ { 3 } \times [ ( - 3 ) ^ { 3 } ] } { ( - 3 ) ^ { 3 } - ( - 3 ) ^ { 0 } }$$

Baholash

$$\frac{7625597484987}{28}\approx 272342767320,964285714$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 3 ni ko‘paytirib, 24 ni oling.

$$\frac{\left(-3\right)^{24}\left(-3\right)^{3}}{\left(-3\right)^{3}-\left(-3\right)^{0}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 24 va 3 ni qo‘shib, 27 ni oling.

$$\frac{\left(-3\right)^{27}}{\left(-3\right)^{3}-\left(-3\right)^{0}}$$

27 daraja ko‘rsatkichini -3 ga hisoblang va -7625597484987 ni qiymatni oling.

$$\frac{-7625597484987}{\left(-3\right)^{3}-\left(-3\right)^{0}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{-7625597484987}{-27-\left(-3\right)^{0}}$$

0 daraja ko‘rsatkichini -3 ga hisoblang va 1 ni qiymatni oling.

$$\frac{-7625597484987}{-27-1}$$

-28 olish uchun -27 dan 1 ni ayirish.

$$\frac{-7625597484987}{-28}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-7625597484987}{-28} kasrini \frac{7625597484987}{28} ga soddalashtirish mumkin.

$$\frac{7625597484987}{28}$$

Omil

$$\frac{3 ^ {27}}{2 ^ {2} \cdot 7} = 272342767320\frac{27}{28} = 272342767320,9643$$