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

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

Preveri

Koraki rešitve

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in -3, da dobite -6.

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

Odštejte \frac{1}{2} od 1, da dobite \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 in \frac{1}{2}, da dobite 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 potenco 2 števila -6, da dobite \frac{1}{64}.

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

Seštejte 1 in \frac{1}{64}, da dobite \frac{65}{64}.

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

Nasprotna vrednost -3 je 3.

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

Seštejte -\frac{3}{4} in 3, da dobite \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} in \frac{3}{8}, da dobite \frac{3}{20}.

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

Seštejte \frac{9}{4} in \frac{3}{20}, da dobite \frac{12}{5}.

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

Delite \frac{65}{64} s/z \frac{12}{5} tako, da pomnožite \frac{65}{64} z obratno vrednostjo \frac{12}{5}.

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

Pomnožite \frac{65}{64} in \frac{5}{12}, da dobite \frac{325}{768}.

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

Primerjajte \frac{325}{768} in \frac{325}{768}.

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

Pretvorite decimalno število 0,4232 v ulomek \frac{4232}{10000}. Zmanjšajte ulomek \frac{4232}{10000} na najmanjši imenovalec tako, da izpeljete in okrajšate 8.

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

Najmanjši skupni mnogokratnik 768 in 1250 je 480000. Pretvorite \frac{325}{768} in \frac{529}{1250} v ulomke z imenovalcem 480000.

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

Primerjajte \frac{203125}{480000} in \frac{203136}{480000}.

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

Konjunkcija vrednosti \text{true} in \text{false} je \text{false}.

$$\text{false}$$