{(-21)^{2}:(-7)^{2}+[(-21)^3]^2:(-21)^5}:(-2)^2 eching

$$\{ ( - 21 ) ^ { 2 } : ( - 7 ) ^ { 2 } + [ ( - 21 ) ^ { 3 } ] ^ { 2 } : ( - 21 ) ^ { 5 } \} : ( - 2 ) ^ { 2 }$$

Baholash

$$-3$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$\frac{\frac{\left(-21\right)^{2}}{\left(-7\right)^{2}}+\frac{\left(-21\right)^{6}}{\left(-21\right)^{5}}}{\left(-2\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 6 dan 5 ni ayirib, 1 ni oling.

$$\frac{\frac{\left(-21\right)^{2}}{\left(-7\right)^{2}}+\left(-21\right)^{1}}{\left(-2\right)^{2}}$$

2 daraja ko‘rsatkichini -21 ga hisoblang va 441 ni qiymatni oling.

$$\frac{\frac{441}{\left(-7\right)^{2}}+\left(-21\right)^{1}}{\left(-2\right)^{2}}$$

2 daraja ko‘rsatkichini -7 ga hisoblang va 49 ni qiymatni oling.

$$\frac{\frac{441}{49}+\left(-21\right)^{1}}{\left(-2\right)^{2}}$$

9 ni olish uchun 441 ni 49 ga bo‘ling.

$$\frac{9+\left(-21\right)^{1}}{\left(-2\right)^{2}}$$

1 daraja ko‘rsatkichini -21 ga hisoblang va -21 ni qiymatni oling.

$$\frac{9-21}{\left(-2\right)^{2}}$$

-12 olish uchun 9 dan 21 ni ayirish.

$$\frac{-12}{\left(-2\right)^{2}}$$

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

$$\frac{-12}{4}$$

-3 ni olish uchun -12 ni 4 ga bo‘ling.

$$-3$$

Omil

$$-3$$