Whakaoti i te (-9922/23)*(-69)+1.25*(-81/20)*(-2)^3

$$( - 99 \frac { 22 } { 23 } ) \times ( - 69 ) + 1.25 \times ( - \frac { 81 } { 20 } ) \times ( - 2 ) ^ { 3 }$$

Aromātai

$$6937.5$$

Ngā Upane Otinga

Whakareatia te 99 ki te 23, ka 2277.

$$\left(-\frac{2277+22}{23}\right)\left(-69\right)+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Tāpirihia te 2277 ki te 22, ka 2299.

$$-\frac{2299}{23}\left(-69\right)+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Tuhia te -\frac{2299}{23}\left(-69\right) hei hautanga kotahi.

$$\frac{-2299\left(-69\right)}{23}+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Whakareatia te -2299 ki te -69, ka 158631.

$$\frac{158631}{23}+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Whakawehea te 158631 ki te 23, kia riro ko 6897.

$$6897+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Me tahuri ki tau ā-ira 1.25 ki te hautau \frac{125}{100}. Whakahekea te hautanga \frac{125}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$6897+\frac{5}{4}\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Me whakarea te \frac{5}{4} ki te -\frac{81}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6897+\frac{5\left(-81\right)}{4\times 20}\left(-2\right)^{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\left(-81\right)}{4\times 20}.

$$6897+\frac{-405}{80}\left(-2\right)^{3}$$

Whakahekea te hautanga \frac{-405}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$6897-\frac{81}{16}\left(-2\right)^{3}$$

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

$$6897-\frac{81}{16}\left(-8\right)$$

Tuhia te -\frac{81}{16}\left(-8\right) hei hautanga kotahi.

$$6897+\frac{-81\left(-8\right)}{16}$$

Whakareatia te -81 ki te -8, ka 648.

$$6897+\frac{648}{16}$$

Whakahekea te hautanga \frac{648}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$6897+\frac{81}{2}$$

Me tahuri te 6897 ki te hautau \frac{13794}{2}.

$$\frac{13794}{2}+\frac{81}{2}$$

Tā te mea he rite te tauraro o \frac{13794}{2} me \frac{81}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13794+81}{2}$$

Tāpirihia te 13794 ki te 81, ka 13875.

$$\frac{13875}{2}$$

Tauwehe

$$\frac{3 \cdot 37 \cdot 5 ^ {3}}{2} = 6937\frac{1}{2} = 6937.5$$