Whakaoti i te (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) =$$

Aromātai

$$\frac{325}{768}\approx 0.423177083$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -3 kia riro ai te -6.

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

Tangohia te \frac{1}{2} i te 1, ka \frac{1}{2}.

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

Whakareatia te 2 ki te \frac{1}{2}, ka 1.

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

Tātaihia te 2 mā te pū o -6, kia riro ko \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

Tāpirihia te 1 ki te \frac{1}{64}, ka \frac{65}{64}.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}$$

Ko te tauaro o -3 ko 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}$$

Tāpirihia te -\frac{3}{4} ki te 3, ka \frac{9}{4}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}$$

Whakareatia te \frac{2}{5} ki te \frac{3}{8}, ka \frac{3}{20}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}$$

Tāpirihia te \frac{9}{4} ki te \frac{3}{20}, ka \frac{12}{5}.

$$\frac{\frac{65}{64}}{\frac{12}{5}}$$

Whakawehe \frac{65}{64} ki te \frac{12}{5} mā te whakarea \frac{65}{64} ki te tau huripoki o \frac{12}{5}.

$$\frac{65}{64}\times \frac{5}{12}$$

Whakareatia te \frac{65}{64} ki te \frac{5}{12}, ka \frac{325}{768}.

$$\frac{325}{768}$$

Tauwehe

$$\frac{5 ^ {2} \cdot 13}{2 ^ {8} \cdot 3} = 0.4231770833333333$$