Atrisiniet (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=0.4232

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 0.4232$$

Pārbaudīt

Atrisinājuma darbības

Lai pakāpi kāpinātu citā pakāpē, sareiziniet kāpinātājus. Sareiziniet 2 un -3, lai iegūtu -6.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Atņemiet \frac{1}{2} no 1, lai iegūtu \frac{1}{2}.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Reiziniet 2 un \frac{1}{2}, lai iegūtu 1.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Aprēķiniet 2 pakāpē -6 un iegūstiet \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Saskaitiet 1 un \frac{1}{64}, lai iegūtu \frac{65}{64}.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Skaitļa -3 pretstats ir 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Saskaitiet -\frac{3}{4} un 3, lai iegūtu \frac{9}{4}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Reiziniet \frac{2}{5} un \frac{3}{8}, lai iegūtu \frac{3}{20}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Saskaitiet \frac{9}{4} un \frac{3}{20}, lai iegūtu \frac{12}{5}.

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Daliet \frac{65}{64} ar \frac{12}{5}, reizinot \frac{65}{64} ar apgriezto daļskaitli \frac{12}{5} .

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Reiziniet \frac{65}{64} un \frac{5}{12}, lai iegūtu \frac{325}{768}.

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Salīdzināt \frac{325}{768} un \frac{325}{768}.

$$\text{true}\text{ and }\frac{325}{768}=0,4232$$

Pārvērst decimālskaitli 0,4232 par daļskaitli \frac{4232}{10000}. Vienādot daļskaitli \frac{4232}{10000} līdz mazākajam loceklim, izvelkot un saīsinot 8.

$$\text{true}\text{ and }\frac{325}{768}=\frac{529}{1250}$$

768 un 1250 mazākais kopējais skaitlis, ar kuru dalāms bez atlikuma, ir 480000. Konvertējiet \frac{325}{768} un \frac{529}{1250} daļskaitļiem ar saucēju 480000.

$$\text{true}\text{ and }\frac{203125}{480000}=\frac{203136}{480000}$$

Salīdzināt \frac{203125}{480000} un \frac{203136}{480000}.

$$\text{true}\text{ and }\text{false}$$

\text{true} un \text{false} savienojums ir \text{false}.

$$\text{false}$$