(-2)^{3}*(-2)^{2}:(+2)^{4}-5^{2}:(-1)^5+(3^2)^5:(-3)^8= eching

$$( - 2 ) ^ { 3 } \cdot ( - 2 ) ^ { 2 } : ( + 2 ) ^ { 4 } - 5 ^ { 2 } : ( - 1 ) ^ { 5 } + ( 3 ^ { 2 } ) ^ { 5 } : ( - 3 ) ^ { 8 } =$$

Baholash

$$32$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{\left(-2\right)^{5}}{2^{4}}-\frac{5^{2}}{\left(-1\right)^{5}}+\frac{\left(3^{2}\right)^{5}}{\left(-3\right)^{8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.

$$\frac{\left(-2\right)^{5}}{2^{4}}-\frac{5^{2}}{\left(-1\right)^{5}}+\frac{3^{10}}{\left(-3\right)^{8}}$$

5 daraja ko‘rsatkichini -2 ga hisoblang va -32 ni qiymatni oling.

$$\frac{-32}{2^{4}}-\frac{5^{2}}{\left(-1\right)^{5}}+\frac{3^{10}}{\left(-3\right)^{8}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{-32}{16}-\frac{5^{2}}{\left(-1\right)^{5}}+\frac{3^{10}}{\left(-3\right)^{8}}$$

-2 ni olish uchun -32 ni 16 ga bo‘ling.

$$-2-\frac{5^{2}}{\left(-1\right)^{5}}+\frac{3^{10}}{\left(-3\right)^{8}}$$

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

$$-2-\frac{25}{\left(-1\right)^{5}}+\frac{3^{10}}{\left(-3\right)^{8}}$$

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

$$-2-\frac{25}{-1}+\frac{3^{10}}{\left(-3\right)^{8}}$$

\frac{25}{-1} kasri manfiy belgini olib tashlash bilan -25 sifatida qayta yozilishi mumkin.

$$-2-\left(-25\right)+\frac{3^{10}}{\left(-3\right)^{8}}$$

-25 ning teskarisi 25 ga teng.

$$-2+25+\frac{3^{10}}{\left(-3\right)^{8}}$$

23 olish uchun -2 va 25'ni qo'shing.

$$23+\frac{3^{10}}{\left(-3\right)^{8}}$$

10 daraja ko‘rsatkichini 3 ga hisoblang va 59049 ni qiymatni oling.

$$23+\frac{59049}{\left(-3\right)^{8}}$$

8 daraja ko‘rsatkichini -3 ga hisoblang va 6561 ni qiymatni oling.

$$23+\frac{59049}{6561}$$

9 ni olish uchun 59049 ni 6561 ga bo‘ling.

$$23+9$$

32 olish uchun 23 va 9'ni qo'shing.

$$32$$

Omil

$$2^{5}$$