2^{4}+[3*2^{3}:6+2^{2}+3^{2}*(2^{5}:2^{4}+2^3):(30^2:5^2-6)]^2= eching

$$2 ^ { 4 } + [ 3 \times 2 ^ { 3 } : 6 + 2 ^ { 2 } + 3 ^ { 2 } \times ( 2 ^ { 5 } : 2 ^ { 4 } + 2 ^ { 3 } ) : ( 30 ^ { 2 } : 5 ^ { 2 } - 6 ) ] ^ { 2 } =$$

Baholash

$$137$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 5 dan 4 ni ayirib, 1 ni oling.

$$2^{4}+\left(\frac{3\times 2^{3}}{6}+2^{2}+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

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

$$16+\left(\frac{3\times 2^{3}}{6}+2^{2}+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$16+\left(\frac{3\times 8}{6}+2^{2}+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

24 hosil qilish uchun 3 va 8 ni ko'paytirish.

$$16+\left(\frac{24}{6}+2^{2}+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

4 ni olish uchun 24 ni 6 ga bo‘ling.

$$16+\left(4+2^{2}+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

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

$$16+\left(4+4+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

8 olish uchun 4 va 4'ni qo'shing.

$$16+\left(8+\frac{3^{2}\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

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

$$16+\left(8+\frac{9\left(2^{1}+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

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

$$16+\left(8+\frac{9\left(2+2^{3}\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$16+\left(8+\frac{9\left(2+8\right)}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

10 olish uchun 2 va 8'ni qo'shing.

$$16+\left(8+\frac{9\times 10}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

90 hosil qilish uchun 9 va 10 ni ko'paytirish.

$$16+\left(8+\frac{90}{\frac{30^{2}}{5^{2}}-6}\right)^{2}$$

2 daraja ko‘rsatkichini 30 ga hisoblang va 900 ni qiymatni oling.

$$16+\left(8+\frac{90}{\frac{900}{5^{2}}-6}\right)^{2}$$

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

$$16+\left(8+\frac{90}{\frac{900}{25}-6}\right)^{2}$$

36 ni olish uchun 900 ni 25 ga bo‘ling.

$$16+\left(8+\frac{90}{36-6}\right)^{2}$$

30 olish uchun 36 dan 6 ni ayirish.

$$16+\left(8+\frac{90}{30}\right)^{2}$$

3 ni olish uchun 90 ni 30 ga bo‘ling.

$$16+\left(8+3\right)^{2}$$

11 olish uchun 8 va 3'ni qo'shing.

$$16+11^{2}$$

2 daraja ko‘rsatkichini 11 ga hisoblang va 121 ni qiymatni oling.

$$16+121$$

137 olish uchun 16 va 121'ni qo'shing.

$$137$$

Omil

$$137$$