Whakaoti i te frac{1/2^{-3}-1/2^-1}{1^-3/2^9-1-3/2^3}

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

Aromātai

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

Ngā Upane Otinga

Tātaihia te 2 mā te pū o -3, kia riro ko \frac{1}{8}.

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

Whakawehe 1 ki te \frac{1}{8} mā te whakarea 1 ki te tau huripoki o \frac{1}{8}.

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

Whakareatia te 1 ki te 8, ka 8.

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

Tātaihia te 2 mā te pū o -1, kia riro ko \frac{1}{2}.

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

Whakawehe 1 ki te \frac{1}{2} mā te whakarea 1 ki te tau huripoki o \frac{1}{2}.

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

Whakareatia te 1 ki te 2, ka 2.

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

Tangohia te 2 i te 8, ka 6.

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

Tātaihia te 1 mā te pū o -3, kia riro ko 1.

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

Tātaihia te 2 mā te pū o 9, kia riro ko 512.

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

Tangohia te 3 i te 1, ka -2.

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

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

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

Whakahekea te hautanga \frac{-2}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Ko te tauaro o -\frac{1}{4} ko \frac{1}{4}.

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

Tāpirihia te \frac{1}{512} ki te \frac{1}{4}, ka \frac{129}{512}.

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

Whakawehe 6 ki te \frac{129}{512} mā te whakarea 6 ki te tau huripoki o \frac{129}{512}.

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

Whakareatia te 6 ki te \frac{512}{129}, ka \frac{1024}{43}.

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

Tauwehe

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