Whakaoti i te 36/5/{left(-frac{5{8}right)}^-1}+sqrt{27/16-1/8}-frac{13}{4}

$$\frac{ \frac{ 36 }{ 5 } }{ { \left(- \frac{ 5 }{ 8 } \right) }^{ -1 } } + \sqrt{ \frac{ 27 }{ 16 } - \frac{ 1 }{ 8 } } - \frac{ 13 }{ 4 }$$

Aromātai

$$-\frac{13}{2}=-6.5$$

Ngā Upane Otinga

Tātaihia te -\frac{5}{8} mā te pū o -1, kia riro ko -\frac{8}{5}.

$$\frac{\frac{36}{5}}{-\frac{8}{5}}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Whakawehe \frac{36}{5} ki te -\frac{8}{5} mā te whakarea \frac{36}{5} ki te tau huripoki o -\frac{8}{5}.

$$\frac{36}{5}\left(-\frac{5}{8}\right)+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Whakareatia te \frac{36}{5} ki te -\frac{5}{8}, ka -\frac{9}{2}.

$$-\frac{9}{2}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Tangohia te \frac{1}{8} i te \frac{27}{16}, ka \frac{25}{16}.

$$-\frac{9}{2}+\sqrt{\frac{25}{16}}-\frac{13}{4}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{25}{16} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25}}{\sqrt{16}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$-\frac{9}{2}+\frac{5}{4}-\frac{13}{4}$$

Tāpirihia te -\frac{9}{2} ki te \frac{5}{4}, ka -\frac{13}{4}.

$$-\frac{13}{4}-\frac{13}{4}$$

Tangohia te \frac{13}{4} i te -\frac{13}{4}, ka -\frac{13}{2}.

$$-\frac{13}{2}$$

Tauwehe

$$-\frac{13}{2} = -6\frac{1}{2} = -6.5$$