sqrt{2}*sqrt{2}-5^5div5^3+2^3^2 eching

$$\sqrt{ 2 } \times \sqrt{ 2 } - { 5 }^{ 5 } \div { 5 }^{ 3 } + { 2 }^{ { 3 }^{ 2 } }$$

Baholash

$$489$$

Yechim qadamlari

2 hosil qilish uchun \sqrt{2} va \sqrt{2} ni ko'paytirish.

$$2-\frac{5^{5}}{5^{3}}+2^{3^{2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 5 dan 3 ni ayirib, 2 ni oling.

$$2-5^{2}+2^{3^{2}}$$

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

$$2-25+2^{3^{2}}$$

-23 olish uchun 2 dan 25 ni ayirish.

$$-23+2^{3^{2}}$$

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

$$-23+2^{9}$$

9 daraja ko‘rsatkichini 2 ga hisoblang va 512 ni qiymatni oling.

$$-23+512$$

489 olish uchun -23 va 512'ni qo'shing.

$$489$$

Omil

$$3\times 163$$