Whakaoti i te 1000(1/2^9-1)/-0.5

$$\frac { 1000 ( \frac { 1 } { 2 ^ { 9 } } - 1 ) } { - 0.5 }$$

Aromātai

$$1996.09375$$

Ngā Upane Otinga

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

$$\frac{1000\left(\frac{1}{512}-1\right)}{-0.5}$$

Me tahuri te 1 ki te hautau \frac{512}{512}.

$$\frac{1000\left(\frac{1}{512}-\frac{512}{512}\right)}{-0.5}$$

Tā te mea he rite te tauraro o \frac{1}{512} me \frac{512}{512}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1000\times \frac{1-512}{512}}{-0.5}$$

Tangohia te 512 i te 1, ka -511.

$$\frac{1000\left(-\frac{511}{512}\right)}{-0.5}$$

Tuhia te 1000\left(-\frac{511}{512}\right) hei hautanga kotahi.

$$\frac{\frac{1000\left(-511\right)}{512}}{-0.5}$$

Whakareatia te 1000 ki te -511, ka -511000.

$$\frac{\frac{-511000}{512}}{-0.5}$$

Whakahekea te hautanga \frac{-511000}{512} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{-\frac{63875}{64}}{-0.5}$$

Tuhia te \frac{-\frac{63875}{64}}{-0.5} hei hautanga kotahi.

$$\frac{-63875}{64\left(-0.5\right)}$$

Whakareatia te 64 ki te -0.5, ka -32.

$$\frac{-63875}{-32}$$

Ka taea te hautanga \frac{-63875}{-32} te whakamāmā ki te \frac{63875}{32} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$\frac{63875}{32}$$

Tauwehe

$$\frac{7 \cdot 73 \cdot 5 ^ {3}}{2 ^ {5}} = 1996\frac{3}{32} = 1996.09375$$