frac{(5^{3}*2-2*10^{2}):5}{(10^{3})^{2}:10^5}+(7^3:7^2)*2^2 eching

$$\frac { ( 5 ^ { 3 } \cdot 2 - 2 \cdot 10 ^ { 2 } ) : 5 } { ( 10 ^ { 3 } ) ^ { 2 } : 10 ^ { 5 } } + ( 7 ^ { 3 } : 7 ^ { 2 } ) \cdot 2 ^ { 2 }$$

Baholash

$$29$$

Yechim qadamlari

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

$$\frac{\frac{5^{3}\times 2-2\times 10^{2}}{5}}{\frac{10^{6}}{10^{5}}}+\frac{7^{3}}{7^{2}}\times 2^{2}$$

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

$$\frac{\frac{5^{3}\times 2-2\times 10^{2}}{5}}{10^{1}}+\frac{7^{3}}{7^{2}}\times 2^{2}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 3 dan 2 ni ayirib, 1 ni oling.

$$\frac{\frac{5^{3}\times 2-2\times 10^{2}}{5}}{10^{1}}+7^{1}\times 2^{2}$$

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$\frac{\frac{125\times 2-2\times 10^{2}}{5}}{10^{1}}+7^{1}\times 2^{2}$$

250 hosil qilish uchun 125 va 2 ni ko'paytirish.

$$\frac{\frac{250-2\times 10^{2}}{5}}{10^{1}}+7^{1}\times 2^{2}$$

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$\frac{\frac{250-2\times 100}{5}}{10^{1}}+7^{1}\times 2^{2}$$

200 hosil qilish uchun 2 va 100 ni ko'paytirish.

$$\frac{\frac{250-200}{5}}{10^{1}}+7^{1}\times 2^{2}$$

50 olish uchun 250 dan 200 ni ayirish.

$$\frac{\frac{50}{5}}{10^{1}}+7^{1}\times 2^{2}$$

10 ni olish uchun 50 ni 5 ga bo‘ling.

$$\frac{10}{10^{1}}+7^{1}\times 2^{2}$$

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

$$\frac{10}{10}+7^{1}\times 2^{2}$$

1 ni olish uchun 10 ni 10 ga bo‘ling.

$$1+7^{1}\times 2^{2}$$

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

$$1+7\times 2^{2}$$

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

$$1+7\times 4$$

28 hosil qilish uchun 7 va 4 ni ko'paytirish.

$$1+28$$

29 olish uchun 1 va 28'ni qo'shing.

$$29$$

Omil

$$29$$