(-3)^{7}*(-3)^{2}:(+3)^{5}-9^{2}:(-3)^2-(-5^2)^5:(-5)^9= eching

$$( - 3 ) ^ { 7 } \cdot ( - 3 ) ^ { 2 } : ( + 3 ) ^ { 5 } - 9 ^ { 2 } : ( - 3 ) ^ { 2 } - ( - 5 ^ { 2 } ) ^ { 5 } : ( - 5 ) ^ { 9 } =$$

Baholash

$$-95$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 2 ni qo‘shib, 9 ni oling.

$$\frac{\left(-3\right)^{9}}{3^{5}}-\frac{9^{2}}{\left(-3\right)^{2}}-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

9 daraja ko‘rsatkichini -3 ga hisoblang va -19683 ni qiymatni oling.

$$\frac{-19683}{3^{5}}-\frac{9^{2}}{\left(-3\right)^{2}}-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

5 daraja ko‘rsatkichini 3 ga hisoblang va 243 ni qiymatni oling.

$$\frac{-19683}{243}-\frac{9^{2}}{\left(-3\right)^{2}}-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

-81 ni olish uchun -19683 ni 243 ga bo‘ling.

$$-81-\frac{9^{2}}{\left(-3\right)^{2}}-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$-81-\frac{81}{\left(-3\right)^{2}}-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$-81-\frac{81}{9}-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

9 ni olish uchun 81 ni 9 ga bo‘ling.

$$-81-9-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

-90 olish uchun -81 dan 9 ni ayirish.

$$-90-\frac{\left(-5^{2}\right)^{5}}{\left(-5\right)^{9}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$-90-\frac{\left(-25\right)^{5}}{\left(-5\right)^{9}}$$

5 daraja ko‘rsatkichini -25 ga hisoblang va -9765625 ni qiymatni oling.

$$-90-\frac{-9765625}{\left(-5\right)^{9}}$$

9 daraja ko‘rsatkichini -5 ga hisoblang va -1953125 ni qiymatni oling.

$$-90-\frac{-9765625}{-1953125}$$

5 ni olish uchun -9765625 ni -1953125 ga bo‘ling.

$$-90-5$$

-95 olish uchun -90 dan 5 ni ayirish.

$$-95$$

Omil

$$-95$$