(2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})= eching

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) =$$

Baholash

$$\frac{325}{768}\approx 0,423177083$$

Yechim qadamlari

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

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

\frac{1}{2} olish uchun 1 dan \frac{1}{2} ni ayirish.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

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

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

-6 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

\frac{65}{64} olish uchun 1 va \frac{1}{64}'ni qo'shing.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

-3 ning teskarisi 3 ga teng.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}$$

\frac{9}{4} olish uchun -\frac{3}{4} va 3'ni qo'shing.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}$$

\frac{3}{20} hosil qilish uchun \frac{2}{5} va \frac{3}{8} ni ko'paytirish.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}$$

\frac{12}{5} olish uchun \frac{9}{4} va \frac{3}{20}'ni qo'shing.

$$\frac{\frac{65}{64}}{\frac{12}{5}}$$

\frac{65}{64} ni \frac{12}{5} ga bo'lish \frac{65}{64} ga k'paytirish \frac{12}{5} ga qaytarish.

$$\frac{65}{64}\times \frac{5}{12}$$

\frac{325}{768} hosil qilish uchun \frac{65}{64} va \frac{5}{12} ni ko'paytirish.

$$\frac{325}{768}$$

Omil

$$\frac{5 ^ {2} \cdot 13}{2 ^ {8} \cdot 3} = 0,4231770833333333$$