Whakaoti i te {l}{sqrt{3^-2}*2^-4}{-6+(8-3)-[4+(6-3)*5-8]+3-{9-(6-4)}}

$$\left. \begin{array} { l } { \sqrt { 3 ^ { - 2 } } \cdot 2 ^ { - 4 } } \\ { - 6 + ( 8 - 3 ) - [ 4 + ( 6 - 3 ) * 5 - 8 ] + 3 - \{ 9 - ( 6 - 4 ) \} } \end{array} \right.$$

Aromātai

$$-\frac{767}{48}\approx -15.979166667$$

Ngā Upane Otinga

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\sqrt{\frac{1}{9}}\times 2^{-4}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tuhia anō te pūtake rua o te whakawehenga \frac{1}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{1}{3}\times 2^{-4}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tātaihia te 2 mā te pū o -4, kia riro ko \frac{1}{16}.

$$\frac{1}{3}\times \frac{1}{16}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Whakareatia te \frac{1}{3} ki te \frac{1}{16}, ka \frac{1}{48}.

$$\frac{1}{48}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tangohia te 6 i te \frac{1}{48}, ka -\frac{287}{48}.

$$-\frac{287}{48}+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tāpirihia te -\frac{287}{48} ki te 8, ka \frac{97}{48}.

$$\frac{97}{48}-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tangohia te 3 i te \frac{97}{48}, ka -\frac{47}{48}.

$$-\frac{47}{48}-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tangohia te 3 i te 6, ka 3.

$$-\frac{47}{48}-\left(4+3\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

Whakareatia te 3 ki te 5, ka 15.

$$-\frac{47}{48}-\left(4+15-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tāpirihia te 4 ki te 15, ka 19.

$$-\frac{47}{48}-\left(19-8\right)+3-\left(9-\left(6-4\right)\right)$$

Tangohia te 8 i te 19, ka 11.

$$-\frac{47}{48}-11+3-\left(9-\left(6-4\right)\right)$$

Tangohia te 11 i te -\frac{47}{48}, ka -\frac{575}{48}.

$$-\frac{575}{48}+3-\left(9-\left(6-4\right)\right)$$

Tāpirihia te -\frac{575}{48} ki te 3, ka -\frac{431}{48}.

$$-\frac{431}{48}-\left(9-\left(6-4\right)\right)$$

Tangohia te 4 i te 6, ka 2.

$$-\frac{431}{48}-\left(9-2\right)$$

Tangohia te 2 i te 9, ka 7.

$$-\frac{431}{48}-7$$

Tangohia te 7 i te -\frac{431}{48}, ka -\frac{767}{48}.

$$-\frac{767}{48}$$

Tauwehe

$$-\frac{767}{48} = -15\frac{47}{48} = -15.979166666666666$$