Whakaoti i te 5(-7/40)+{left(7/8right)}^2

$$5( \frac{ -7 }{ 40 } )+ { \left( \frac{ 7 }{ 8 } \right) }^{ 2 }$$

Aromātai

$$-\frac{7}{64}=-0.109375$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-7}{40} te tuhi anō ko -\frac{7}{40} mā te tango i te tohu tōraro.

$$5\left(-\frac{7}{40}\right)+\left(\frac{7}{8}\right)^{2}$$

Tuhia te 5\left(-\frac{7}{40}\right) hei hautanga kotahi.

$$\frac{5\left(-7\right)}{40}+\left(\frac{7}{8}\right)^{2}$$

Whakareatia te 5 ki te -7, ka -35.

$$\frac{-35}{40}+\left(\frac{7}{8}\right)^{2}$$

Whakahekea te hautanga \frac{-35}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{7}{8}+\left(\frac{7}{8}\right)^{2}$$

Tātaihia te \frac{7}{8} mā te pū o 2, kia riro ko \frac{49}{64}.

$$-\frac{7}{8}+\frac{49}{64}$$

Ko te maha noa iti rawa atu o 8 me 64 ko 64. Me tahuri -\frac{7}{8} me \frac{49}{64} ki te hautau me te tautūnga 64.

$$-\frac{56}{64}+\frac{49}{64}$$

Tā te mea he rite te tauraro o -\frac{56}{64} me \frac{49}{64}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-56+49}{64}$$

Tāpirihia te -56 ki te 49, ka -7.

$$-\frac{7}{64}$$

Tauwehe

$$-\frac{7}{64} = -0.109375$$