Issolvi frac{1/2^{-3}-1/2^-1}{1^-3/2^9-1-3/2^3}

$$\frac { \frac { 1 } { 2 ^ { - 3 } } - \frac { 1 } { 2 ^ { - 1 } } } { \frac { 1 ^ { - 3 } } { 2 ^ { 9 } } - \frac { 1 - 3 } { 2 ^ { 3 } } }$$

Evalwa

$$\frac{1024}{43}\approx 23.813953488$$

Passi tas-Soluzzjonijiet

Ikkalkula 2 bil-power ta' -3 u tikseb \frac{1}{8}.

$$\frac{\frac{1}{\frac{1}{8}}-\frac{1}{2^{-1}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

Iddividi 1 b'\frac{1}{8} billi timmultiplika 1 bir-reċiproku ta' \frac{1}{8}.

$$\frac{1\times 8-\frac{1}{2^{-1}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

Immultiplika 1 u 8 biex tikseb 8.

$$\frac{8-\frac{1}{2^{-1}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

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

$$\frac{8-\frac{1}{\frac{1}{2}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

Iddividi 1 b'\frac{1}{2} billi timmultiplika 1 bir-reċiproku ta' \frac{1}{2}.

$$\frac{8-1\times 2}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

Immultiplika 1 u 2 biex tikseb 2.

$$\frac{8-2}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

Naqqas 2 minn 8 biex tikseb 6.

$$\frac{6}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

Ikkalkula 1 bil-power ta' -3 u tikseb 1.

$$\frac{6}{\frac{1}{2^{9}}-\frac{1-3}{2^{3}}}$$

Ikkalkula 2 bil-power ta' 9 u tikseb 512.

$$\frac{6}{\frac{1}{512}-\frac{1-3}{2^{3}}}$$

Naqqas 3 minn 1 biex tikseb -2.

$$\frac{6}{\frac{1}{512}-\frac{-2}{2^{3}}}$$

Ikkalkula 2 bil-power ta' 3 u tikseb 8.

$$\frac{6}{\frac{1}{512}-\frac{-2}{8}}$$

Naqqas il-frazzjoni \frac{-2}{8} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{6}{\frac{1}{512}-\left(-\frac{1}{4}\right)}$$

L-oppost ta' -\frac{1}{4} huwa \frac{1}{4}.

$$\frac{6}{\frac{1}{512}+\frac{1}{4}}$$

Żid \frac{1}{512} u \frac{1}{4} biex tikseb \frac{129}{512}.

$$\frac{6}{\frac{129}{512}}$$

Iddividi 6 b'\frac{129}{512} billi timmultiplika 6 bir-reċiproku ta' \frac{129}{512}.

$$6\times \frac{512}{129}$$

Immultiplika 6 u \frac{512}{129} biex tikseb \frac{1024}{43}.

$$\frac{1024}{43}$$

Fattur

$$\frac{2 ^ {10}}{43} = 23\frac{35}{43} = 23.813953488372093$$