(-5)^{6}*(-5)^{3}:(+5)^{7}+(-2^{2})^7:(-2)^10+(-3)^9:(-3)^4= eching

$$( - 5 ) ^ { 6 } \cdot ( - 5 ) ^ { 3 } : ( + 5 ) ^ { 7 } + ( - 2 ^ { 2 } ) ^ { 7 } : ( - 2 ) ^ { 10 } + ( - 3 ) ^ { 9 } : ( - 3 ) ^ { 4 } =$$

Baholash

$$-284$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$\frac{\left(-5\right)^{9}}{5^{7}}+\frac{\left(-2^{2}\right)^{7}}{\left(-2\right)^{10}}+\frac{\left(-3\right)^{9}}{\left(-3\right)^{4}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 9 dan 4 ni ayirib, 5 ni oling.

$$\frac{\left(-5\right)^{9}}{5^{7}}+\frac{\left(-2^{2}\right)^{7}}{\left(-2\right)^{10}}+\left(-3\right)^{5}$$

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

$$\frac{-1953125}{5^{7}}+\frac{\left(-2^{2}\right)^{7}}{\left(-2\right)^{10}}+\left(-3\right)^{5}$$

7 daraja ko‘rsatkichini 5 ga hisoblang va 78125 ni qiymatni oling.

$$\frac{-1953125}{78125}+\frac{\left(-2^{2}\right)^{7}}{\left(-2\right)^{10}}+\left(-3\right)^{5}$$

-25 ni olish uchun -1953125 ni 78125 ga bo‘ling.

$$-25+\frac{\left(-2^{2}\right)^{7}}{\left(-2\right)^{10}}+\left(-3\right)^{5}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$-25+\frac{\left(-4\right)^{7}}{\left(-2\right)^{10}}+\left(-3\right)^{5}$$

7 daraja ko‘rsatkichini -4 ga hisoblang va -16384 ni qiymatni oling.

$$-25+\frac{-16384}{\left(-2\right)^{10}}+\left(-3\right)^{5}$$

10 daraja ko‘rsatkichini -2 ga hisoblang va 1024 ni qiymatni oling.

$$-25+\frac{-16384}{1024}+\left(-3\right)^{5}$$

-16 ni olish uchun -16384 ni 1024 ga bo‘ling.

$$-25-16+\left(-3\right)^{5}$$

-41 olish uchun -25 dan 16 ni ayirish.

$$-41+\left(-3\right)^{5}$$

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

$$-41-243$$

-284 olish uchun -41 dan 243 ni ayirish.

$$-284$$

Omil

$$-284$$