Løs (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=04232

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 04232$$

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Løsningsvejledning

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 2 og -3 for at få -6.

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

Subtraher \frac{1}{2} fra 1 for at få \frac{1}{2}.

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

Multiplicer 2 og \frac{1}{2} for at få 1.

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

Beregn 2 til potensen af -6, og få \frac{1}{64}.

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

Tilføj 1 og \frac{1}{64} for at få \frac{65}{64}.

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

Det modsatte af -3 er 3.

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

Tilføj -\frac{3}{4} og 3 for at få \frac{9}{4}.

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

Multiplicer \frac{2}{5} og \frac{3}{8} for at få \frac{3}{20}.

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

Tilføj \frac{9}{4} og \frac{3}{20} for at få \frac{12}{5}.

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

Divider \frac{65}{64} med \frac{12}{5} ved at multiplicere \frac{65}{64} med den reciprokke værdi af \frac{12}{5}.

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

Multiplicer \frac{65}{64} og \frac{5}{12} for at få \frac{325}{768}.

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

Sammenlign \frac{325}{768} og \frac{325}{768}.

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

Multiplicer 0 og 4232 for at få 0.

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

Sammenlign \frac{325}{768} og 0.

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

Foreningsmængden af \text{true} og \text{false} er \text{false}.

$$\text{false}$$