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

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

Baholash

$$-\frac{15}{128}=-0,1171875$$

Yechim qadamlari

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

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

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

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

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{1}{4} va \frac{1}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

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

\frac{1}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-1 olish uchun 1 dan 2 ni ayirish.

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

1 ni \frac{4}{4} kasrga o‘giring.

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

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

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

3 olish uchun -1 va 4'ni qo'shing.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{3}{4} ga ko‘paytiring.

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

\frac{1\times 3}{4\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{16}\left(\left(\frac{1}{2}\right)^{3}-\left(\frac{1}{2}\right)^{2}+\frac{1}{2}-1\right)$$

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

$$\frac{3}{16}\left(\frac{1}{8}-\left(\frac{1}{2}\right)^{2}+\frac{1}{2}-1\right)$$

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

$$\frac{3}{16}\left(\frac{1}{8}-\frac{1}{4}+\frac{1}{2}-1\right)$$

8 va 4 ning eng kichik umumiy karralisi 8 ga teng. \frac{1}{8} va \frac{1}{4} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{16}\left(\frac{1}{8}-\frac{2}{8}+\frac{1}{2}-1\right)$$

\frac{1}{8} va \frac{2}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{16}\left(\frac{1-2}{8}+\frac{1}{2}-1\right)$$

-1 olish uchun 1 dan 2 ni ayirish.

$$\frac{3}{16}\left(-\frac{1}{8}+\frac{1}{2}-1\right)$$

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.

$$\frac{3}{16}\left(-\frac{1}{8}+\frac{4}{8}-1\right)$$

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

$$\frac{3}{16}\left(\frac{-1+4}{8}-1\right)$$

3 olish uchun -1 va 4'ni qo'shing.

$$\frac{3}{16}\left(\frac{3}{8}-1\right)$$

1 ni \frac{8}{8} kasrga o‘giring.

$$\frac{3}{16}\left(\frac{3}{8}-\frac{8}{8}\right)$$

\frac{3}{8} va \frac{8}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{16}\times \frac{3-8}{8}$$

-5 olish uchun 3 dan 8 ni ayirish.

$$\frac{3}{16}\left(-\frac{5}{8}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{16} ni -\frac{5}{8} ga ko‘paytiring.

$$\frac{3\left(-5\right)}{16\times 8}$$

\frac{3\left(-5\right)}{16\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-15}{128}$$

\frac{-15}{128} kasri manfiy belgini olib tashlash bilan -\frac{15}{128} sifatida qayta yozilishi mumkin.

$$-\frac{15}{128}$$

Omil

$$-\frac{15}{128} = -0,1171875$$