{[(2/3)^2]^3}^-4= eching

$$\{ [ ( \frac { 2 } { 3 } ) ^ { 2 } ] ^ { 3 } \} ^ { - 4 } =$$

Baholash

$$\frac{282429536481}{16777216}=16834,112196028$$

Yechim qadamlari

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

$$\left(\left(\frac{2}{3}\right)^{6}\right)^{-4}$$

6 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{64}{729} ni qiymatni oling.

$$\left(\frac{64}{729}\right)^{-4}$$

-4 daraja ko‘rsatkichini \frac{64}{729} ga hisoblang va \frac{282429536481}{16777216} ni qiymatni oling.

$$\frac{282429536481}{16777216}$$

Omil

$$\frac{3 ^ {24}}{2 ^ {24}} = 16834\frac{1882337}{16777216} = 16834,112196028233$$