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

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

Provjeri

Koraci rješenja

Da biste izračunali potenciju potencije, pomnožite eksponente. Pomnožite 2 i -3 da biste dobili -6.

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

Oduzmite \frac{1}{2} od 1 da biste dobili \frac{1}{2}.

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

Pomnožite 2 i \frac{1}{2} da biste dobili 1.

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

Izračunajte koliko je -6 na 2 da biste dobili \frac{1}{64}.

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

Dodajte 1 broju \frac{1}{64} da biste dobili \frac{65}{64}.

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

Broj suprotan broju -3 jest 3.

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

Dodajte -\frac{3}{4} broju 3 da biste dobili \frac{9}{4}.

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

Pomnožite \frac{2}{5} i \frac{3}{8} da biste dobili \frac{3}{20}.

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

Dodajte \frac{9}{4} broju \frac{3}{20} da biste dobili \frac{12}{5}.

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

Podijelite \frac{65}{64} s \frac{12}{5} tako da pomnožite \frac{65}{64} s brojem recipročnim broju \frac{12}{5}.

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

Pomnožite \frac{65}{64} i \frac{5}{12} da biste dobili \frac{325}{768}.

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

Usporedite \frac{325}{768} i \frac{325}{768}.

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

Pomnožite 0 i 4232 da biste dobili 0.

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

Usporedite \frac{325}{768} i 0.

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

Konjunkcija brojeva \text{true} i \text{false} je \text{false}.

$$\text{false}$$