3{left(1/3right)}^4-4{left(1/3right)}^2+2 eching

$$3 { \left( \frac{ 1 }{ 3 } \right) }^{ 4 } -4 { \left( \frac{ 1 }{ 3 } \right) }^{ 2 } +2$$

Baholash

$$\frac{43}{27}\approx 1,592592593$$

Yechim qadamlari

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

$$3\times \frac{1}{81}-4\times \left(\frac{1}{3}\right)^{2}+2$$

\frac{3}{81} hosil qilish uchun 3 va \frac{1}{81} ni ko'paytirish.

$$\frac{3}{81}-4\times \left(\frac{1}{3}\right)^{2}+2$$

\frac{3}{81} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{27}-4\times \left(\frac{1}{3}\right)^{2}+2$$

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{1}{27}-4\times \frac{1}{9}+2$$

\frac{4}{9} hosil qilish uchun 4 va \frac{1}{9} ni ko'paytirish.

$$\frac{1}{27}-\frac{4}{9}+2$$

27 va 9 ning eng kichik umumiy karralisi 27 ga teng. \frac{1}{27} va \frac{4}{9} ni 27 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{27}-\frac{12}{27}+2$$

\frac{1}{27} va \frac{12}{27} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1-12}{27}+2$$

-11 olish uchun 1 dan 12 ni ayirish.

$$-\frac{11}{27}+2$$

2 ni \frac{54}{27} kasrga o‘giring.

$$-\frac{11}{27}+\frac{54}{27}$$

-\frac{11}{27} va \frac{54}{27} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-11+54}{27}$$

43 olish uchun -11 va 54'ni qo'shing.

$$\frac{43}{27}$$

Omil

$$\frac{43}{3 ^ {3}} = 1\frac{16}{27} = 1,5925925925925926$$