(4^{2})^{2}:(4^{10}:4^{9})-[(2+2^{2}*9)*3-6*3^{2}]+5^7:(2^2+1)^5-2*2^3 eching

$$( 4 ^ { 2 } ) ^ { 2 } : ( 4 ^ { 10 } : 4 ^ { 9 } ) - [ ( 2 + 2 ^ { 2 } \times 9 ) \times 3 - 6 \times 3 ^ { 2 } ] + 5 ^ { 7 } : ( 2 ^ { 2 } + 1 ) ^ { 5 } - 2 \times 2 ^ { 3 }$$

Baholash

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Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{4^{4}}{\frac{4^{10}}{4^{9}}}-\left(\left(2+2^{2}\times 9\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2\times 2^{3}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 10 dan 9 ni ayirib, 1 ni oling.

$$\frac{4^{4}}{4^{1}}-\left(\left(2+2^{2}\times 9\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2\times 2^{3}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 4 dan 1 ni ayirib, 3 ni oling.

$$4^{3}-\left(\left(2+2^{2}\times 9\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2\times 2^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$4^{3}-\left(\left(2+2^{2}\times 9\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$64-\left(\left(2+2^{2}\times 9\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

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

$$64-\left(\left(2+4\times 9\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$64-\left(\left(2+36\right)\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

38 olish uchun 2 va 36'ni qo'shing.

$$64-\left(38\times 3-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

114 hosil qilish uchun 38 va 3 ni ko'paytirish.

$$64-\left(114-6\times 3^{2}\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

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

$$64-\left(114-6\times 9\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

54 hosil qilish uchun 6 va 9 ni ko'paytirish.

$$64-\left(114-54\right)+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

60 olish uchun 114 dan 54 ni ayirish.

$$64-60+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

4 olish uchun 64 dan 60 ni ayirish.

$$4+\frac{5^{7}}{\left(2^{2}+1\right)^{5}}-2^{4}$$

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

$$4+\frac{78125}{\left(2^{2}+1\right)^{5}}-2^{4}$$

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

$$4+\frac{78125}{\left(4+1\right)^{5}}-2^{4}$$

5 olish uchun 4 va 1'ni qo'shing.

$$4+\frac{78125}{5^{5}}-2^{4}$$

5 daraja ko‘rsatkichini 5 ga hisoblang va 3125 ni qiymatni oling.

$$4+\frac{78125}{3125}-2^{4}$$

25 ni olish uchun 78125 ni 3125 ga bo‘ling.

$$4+25-2^{4}$$

29 olish uchun 4 va 25'ni qo'shing.

$$29-2^{4}$$

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

$$29-16$$

13 olish uchun 29 dan 16 ni ayirish.

$$13$$

Omil

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