Whakaoti i te {[(-3/5)^{6}*(25/9)^2]^4:(9/5)^6*27^2}:(-3/25)

$$\{ [ ( - \frac { 3 } { 5 } ) ^ { 6 } \cdot ( \frac { 25 } { 9 } ) ^ { 2 } ] ^ { 4 } : ( \frac { 9 } { 5 } ) ^ { 6 } \cdot 27 ^ { 2 } \} : ( - \frac { 3 } { 25 } )$$

Aromātai

$$-3$$

Ngā Upane Otinga

Tātaihia te -\frac{3}{5} mā te pū o 6, kia riro ko \frac{729}{15625}.

$$\frac{\frac{\left(\frac{729}{15625}\times \left(\frac{25}{9}\right)^{2}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Tātaihia te \frac{25}{9} mā te pū o 2, kia riro ko \frac{625}{81}.

$$\frac{\frac{\left(\frac{729}{15625}\times \frac{625}{81}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Whakareatia te \frac{729}{15625} ki te \frac{625}{81}, ka \frac{9}{25}.

$$\frac{\frac{\left(\frac{9}{25}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Tātaihia te \frac{9}{25} mā te pū o 4, kia riro ko \frac{6561}{390625}.

$$\frac{\frac{\frac{6561}{390625}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Tātaihia te \frac{9}{5} mā te pū o 6, kia riro ko \frac{531441}{15625}.

$$\frac{\frac{\frac{6561}{390625}}{\frac{531441}{15625}}\times 27^{2}}{-\frac{3}{25}}$$

Whakawehe \frac{6561}{390625} ki te \frac{531441}{15625} mā te whakarea \frac{6561}{390625} ki te tau huripoki o \frac{531441}{15625}.

$$\frac{\frac{6561}{390625}\times \frac{15625}{531441}\times 27^{2}}{-\frac{3}{25}}$$

Whakareatia te \frac{6561}{390625} ki te \frac{15625}{531441}, ka \frac{1}{2025}.

$$\frac{\frac{1}{2025}\times 27^{2}}{-\frac{3}{25}}$$

Tātaihia te 27 mā te pū o 2, kia riro ko 729.

$$\frac{\frac{1}{2025}\times 729}{-\frac{3}{25}}$$

Whakareatia te \frac{1}{2025} ki te 729, ka \frac{9}{25}.

$$\frac{\frac{9}{25}}{-\frac{3}{25}}$$

Whakawehe \frac{9}{25} ki te -\frac{3}{25} mā te whakarea \frac{9}{25} ki te tau huripoki o -\frac{3}{25}.

$$\frac{9}{25}\left(-\frac{25}{3}\right)$$

Whakareatia te \frac{9}{25} ki te -\frac{25}{3}, ka -3.

$$-3$$

Tauwehe

$$-3$$