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

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

Potvrdi

Koraci za rješenje

Da biste podigli stepen na neki drugi stepen, pomnožite eksponente. Pomnožite 2 i -3 da biste dobili -6.

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

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

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

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

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

Izračunajte 2 stepen od -6 i dobijte \frac{1}{64}.

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

Saberite 1 i \frac{1}{64} da biste dobili \frac{65}{64}.

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

Opozit broja -3 je 3.

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

Saberite -\frac{3}{4} i 3 da biste dobili \frac{9}{4}.

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

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

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

Saberite \frac{9}{4} i \frac{3}{20} da biste dobili \frac{12}{5}.

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

Podijelite \frac{65}{64} sa \frac{12}{5} tako što ćete pomnožiti \frac{65}{64} recipročnom vrijednošću od \frac{12}{5}.

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

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

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

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

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

Konvertirajte decimalni broj 0,4232 u njegovo racionalno predstavljanje \frac{4232}{10000}. Svedite razlomak \frac{4232}{10000} na najprostije elemente rastavlјanjem i kraćenjem 8.

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

Najmanji zajednički množilac od 768 i 1250 je 480000. Konvertirajte \frac{325}{768} i \frac{529}{1250} u razlomke s imeniocem 480000.

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

Uporedite \frac{203125}{480000} i \frac{203136}{480000}.

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

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

$$\text{false}$$