Riješi 2left(1-1/2right)+left(2^2right)^-3/-frac{3{4}--3+2/53/8}=frac{325}{768}=423*2

$$\frac{ 2 \left( 1- \frac{ 1 }{ 2 } \right) + { \left( { 2 }^{ 2 } \right) }^{ -3 } }{ - \frac{ 3 }{ 4 } --3+ \frac{ 2 }{ 5 } \frac{ 3 }{ 8 } } = \frac{ 325 }{ 768 } = 423 \cdot 2$$

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Koraci rješenja

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

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

Broj suprotan broju -3 jest 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\text{true}\text{ and }\frac{325}{768}=423\times 2$$

Pomnožite 423 i 2 da biste dobili 846.

$$\text{true}\text{ and }\frac{325}{768}=846$$

Pretvorite 846 u razlomak \frac{649728}{768}.

$$\text{true}\text{ and }\frac{325}{768}=\frac{649728}{768}$$

Usporedite \frac{325}{768} i \frac{649728}{768}.

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

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

$$\text{false}$$