(1/2)^3+2(1/2)^2+8 eching

$$( \frac { 1 } { 2 } ) ^ { 3 } + 2 ( \frac { 1 } { 2 } ) ^ { 2 } + 8$$

Baholash

$$\frac{69}{8}=8,625$$

Yechim qadamlari

3 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{8} ni qiymatni oling.

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

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{1}{8}+2\times \frac{1}{4}+8$$

\frac{2}{4} hosil qilish uchun 2 va \frac{1}{4} ni ko'paytirish.

$$\frac{1}{8}+\frac{2}{4}+8$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{8}+\frac{1}{2}+8$$

8 va 2 ning eng kichik umumiy karralisi 8 ga teng. \frac{1}{8} va \frac{1}{2} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{8}+\frac{4}{8}+8$$

\frac{1}{8} va \frac{4}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+4}{8}+8$$

5 olish uchun 1 va 4'ni qo'shing.

$$\frac{5}{8}+8$$

8 ni \frac{64}{8} kasrga o‘giring.

$$\frac{5}{8}+\frac{64}{8}$$

\frac{5}{8} va \frac{64}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+64}{8}$$

69 olish uchun 5 va 64'ni qo'shing.

$$\frac{69}{8}$$

Omil

$$\frac{3 \cdot 23}{2 ^ {3}} = 8\frac{5}{8} = 8,625$$