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

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

Baholash

$$\frac{11881}{729}\approx 16,297668038$$

Yechim qadamlari

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

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

-3 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\left(4+\frac{1}{27}\right)^{2}$$

\frac{109}{27} olish uchun 4 va \frac{1}{27}'ni qo'shing.

$$\left(\frac{109}{27}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{109}{27} ga hisoblang va \frac{11881}{729} ni qiymatni oling.

$$\frac{11881}{729}$$

Omil

$$\frac{109 ^ {2}}{3 ^ {6}} = 16\frac{217}{729} = 16,29766803840878$$