Issolvi (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=

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

Evalwa

$$\frac{325}{768}\approx 0.423177083$$

Passi tas-Soluzzjonijiet

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u -3 biex tikseb -6.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

Naqqas \frac{1}{2} minn 1 biex tikseb \frac{1}{2}.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

Immultiplika 2 u \frac{1}{2} biex tikseb 1.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

Ikkalkula 2 bil-power ta' -6 u tikseb \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

Żid 1 u \frac{1}{64} biex tikseb \frac{65}{64}.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

L-oppost ta' -3 huwa 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}$$

Żid -\frac{3}{4} u 3 biex tikseb \frac{9}{4}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}$$

Immultiplika \frac{2}{5} u \frac{3}{8} biex tikseb \frac{3}{20}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}$$

Żid \frac{9}{4} u \frac{3}{20} biex tikseb \frac{12}{5}.

$$\frac{\frac{65}{64}}{\frac{12}{5}}$$

Iddividi \frac{65}{64} b'\frac{12}{5} billi timmultiplika \frac{65}{64} bir-reċiproku ta' \frac{12}{5}.

$$\frac{65}{64}\times \frac{5}{12}$$

Immultiplika \frac{65}{64} u \frac{5}{12} biex tikseb \frac{325}{768}.

$$\frac{325}{768}$$

Fattur

$$\frac{5 ^ {2} \cdot 13}{2 ^ {8} \cdot 3} = 0.4231770833333333$$