(-7)^5*49^2/7^0*7*(-49)^3 eching

$$\frac { ( - 7 ) ^ { 5 } \cdot 49 ^ { 2 } } { 7 ^ { 0 } \cdot 7 \cdot ( - 49 ) ^ { 3 } }$$

Baholash

$$49$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 0 va 1 ni qo‘shib, 1 ni oling.

$$\frac{\left(-7\right)^{5}\times 49^{2}}{7^{1}\left(-49\right)^{3}}$$

5 daraja ko‘rsatkichini -7 ga hisoblang va -16807 ni qiymatni oling.

$$\frac{-16807\times 49^{2}}{7^{1}\left(-49\right)^{3}}$$

2 daraja ko‘rsatkichini 49 ga hisoblang va 2401 ni qiymatni oling.

$$\frac{-16807\times 2401}{7^{1}\left(-49\right)^{3}}$$

-40353607 hosil qilish uchun -16807 va 2401 ni ko'paytirish.

$$\frac{-40353607}{7^{1}\left(-49\right)^{3}}$$

1 daraja ko‘rsatkichini 7 ga hisoblang va 7 ni qiymatni oling.

$$\frac{-40353607}{7\left(-49\right)^{3}}$$

3 daraja ko‘rsatkichini -49 ga hisoblang va -117649 ni qiymatni oling.

$$\frac{-40353607}{7\left(-117649\right)}$$

-823543 hosil qilish uchun 7 va -117649 ni ko'paytirish.

$$\frac{-40353607}{-823543}$$

49 ni olish uchun -40353607 ni -823543 ga bo‘ling.

$$49$$

Omil

$$7^{2}$$