Whakaoti i te (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=0.4232

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 0.4232$$

Manatoko

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.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Ko te tauaro o -3 ko 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

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

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Whakatauritea te \frac{325}{768} me te \frac{325}{768}.

$$\text{true}\text{ and }\frac{325}{768}=0.4232$$

Me tahuri ki tau ā-ira 0.4232 ki te hautau \frac{4232}{10000}. Whakahekea te hautanga \frac{4232}{10000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\text{true}\text{ and }\frac{325}{768}=\frac{529}{1250}$$

Ko te maha noa iti rawa atu o 768 me 1250 ko 480000. Me tahuri \frac{325}{768} me \frac{529}{1250} ki te hautau me te tautūnga 480000.

$$\text{true}\text{ and }\frac{203125}{480000}=\frac{203136}{480000}$$

Whakatauritea te \frac{203125}{480000} me te \frac{203136}{480000}.

$$\text{true}\text{ and }\text{false}$$

Ko te kōmititanga tōrunga o \text{true} me \text{false} ko \text{false}.

$$\text{false}$$