Whakaoti i te (27/125)^frac{1{3}}*[(3/2)^-2div(2/5)^3]-4(3/7)^0

$$( \frac { 27 } { 125 } ) ^ { \frac { 1 } { 3 } } \times [ ( \frac { 3 } { 2 } ) ^ { - 2 } \div ( \frac { 2 } { 5 } ) ^ { 3 } ] - 4 ( \frac { 3 } { 7 } ) ^ { 0 }$$

Aromātai

$$\frac{1}{6}\approx 0.166666667$$

Ngā Upane Otinga

Tātaihia te \frac{27}{125} mā te pū o \frac{1}{3}, kia riro ko \frac{3}{5}.

$$\frac{3}{5}\times \frac{\left(\frac{3}{2}\right)^{-2}}{\left(\frac{2}{5}\right)^{3}}-4\times \left(\frac{3}{7}\right)^{0}$$

Tātaihia te \frac{3}{2} mā te pū o -2, kia riro ko \frac{4}{9}.

$$\frac{3}{5}\times \frac{\frac{4}{9}}{\left(\frac{2}{5}\right)^{3}}-4\times \left(\frac{3}{7}\right)^{0}$$

Tātaihia te \frac{2}{5} mā te pū o 3, kia riro ko \frac{8}{125}.

$$\frac{3}{5}\times \frac{\frac{4}{9}}{\frac{8}{125}}-4\times \left(\frac{3}{7}\right)^{0}$$

Whakawehe \frac{4}{9} ki te \frac{8}{125} mā te whakarea \frac{4}{9} ki te tau huripoki o \frac{8}{125}.

$$\frac{3}{5}\times \frac{4}{9}\times \frac{125}{8}-4\times \left(\frac{3}{7}\right)^{0}$$

Whakareatia te \frac{4}{9} ki te \frac{125}{8}, ka \frac{125}{18}.

$$\frac{3}{5}\times \frac{125}{18}-4\times \left(\frac{3}{7}\right)^{0}$$

Whakareatia te \frac{3}{5} ki te \frac{125}{18}, ka \frac{25}{6}.

$$\frac{25}{6}-4\times \left(\frac{3}{7}\right)^{0}$$

Tātaihia te \frac{3}{7} mā te pū o 0, kia riro ko 1.

$$\frac{25}{6}-4\times 1$$

Whakareatia te 4 ki te 1, ka 4.

$$\frac{25}{6}-4$$

Tangohia te 4 i te \frac{25}{6}, ka \frac{1}{6}.

$$\frac{1}{6}$$

Tauwehe

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$