(2^3+3^-4)^2 eching

$$( 2 ^ { 3 } + 3 ^ { - 4 } ) ^ { 2 }$$

Baholash

$$\frac{421201}{6561}\approx 64,19768328$$

Yechim qadamlari

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

$$\left(8+3^{-4}\right)^{2}$$

-4 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{81} ni qiymatni oling.

$$\left(8+\frac{1}{81}\right)^{2}$$

\frac{649}{81} olish uchun 8 va \frac{1}{81}'ni qo'shing.

$$\left(\frac{649}{81}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{649}{81} ga hisoblang va \frac{421201}{6561} ni qiymatni oling.

$$\frac{421201}{6561}$$

Omil

$$\frac{11 ^ {2} \cdot 59 ^ {2}}{3 ^ {8}} = 64\frac{1297}{6561} = 64,1976832799878$$