(frac{2^{2}+3^{3}+4^2}{2^4*3^2})^2 eching

$$( \frac { 2 ^ { 2 } + 3 ^ { 3 } + 4 ^ { 2 } } { 2 ^ { 4 } * 3 ^ { 2 } } ) ^ { 2 }$$

Baholash

$$\frac{2209}{20736}\approx 0,106529707$$

Yechim qadamlari

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

$$\left(\frac{4+3^{3}+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\left(\frac{4+27+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

31 olish uchun 4 va 27'ni qo'shing.

$$\left(\frac{31+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

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

$$\left(\frac{31+16}{2^{4}\times 3^{2}}\right)^{2}$$

47 olish uchun 31 va 16'ni qo'shing.

$$\left(\frac{47}{2^{4}\times 3^{2}}\right)^{2}$$

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

$$\left(\frac{47}{16\times 3^{2}}\right)^{2}$$

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

$$\left(\frac{47}{16\times 9}\right)^{2}$$

144 hosil qilish uchun 16 va 9 ni ko'paytirish.

$$\left(\frac{47}{144}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{47}{144} ga hisoblang va \frac{2209}{20736} ni qiymatni oling.

$$\frac{2209}{20736}$$

Omil

$$\frac{47 ^ {2}}{2 ^ {8} \cdot 3 ^ {4}} = 0,10652970679012345$$