Whakaoti i te (-5)^{4}*(-5)^{3}:(-5^{2})^{3}-(-16)^{2}:(-2^6)-(-3)^12:(-3^5)^2=

$$( - 5 ) ^ { 4 } \cdot ( - 5 ) ^ { 3 } : ( - 5 ^ { 2 } ) ^ { 3 } - ( - 16 ) ^ { 2 } : ( - 2 ^ { 6 } ) - ( - 3 ) ^ { 12 } : ( - 3 ^ { 5 } ) ^ { 2 } =$$

Aromātai

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Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 3 kia riro ai te 7.

$$\frac{\left(-5\right)^{7}}{\left(-5^{2}\right)^{3}}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tātaihia te -5 mā te pū o 7, kia riro ko -78125.

$$\frac{-78125}{\left(-5^{2}\right)^{3}}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{-78125}{\left(-25\right)^{3}}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tātaihia te -25 mā te pū o 3, kia riro ko -15625.

$$\frac{-78125}{-15625}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Whakawehea te -78125 ki te -15625, kia riro ko 5.

$$5-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tātaihia te -16 mā te pū o 2, kia riro ko 256.

$$5-\frac{256}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tātaihia te 2 mā te pū o 6, kia riro ko 64.

$$5-\frac{256}{-64}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Whakawehea te 256 ki te -64, kia riro ko -4.

$$5-\left(-4\right)-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Ko te tauaro o -4 ko 4.

$$5+4-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$9-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Tātaihia te -3 mā te pū o 12, kia riro ko 531441.

$$9-\frac{531441}{\left(-3^{5}\right)^{2}}$$

Tātaihia te 3 mā te pū o 5, kia riro ko 243.

$$9-\frac{531441}{\left(-243\right)^{2}}$$

Tātaihia te -243 mā te pū o 2, kia riro ko 59049.

$$9-\frac{531441}{59049}$$

Whakawehea te 531441 ki te 59049, kia riro ko 9.

$$9-9$$

Tangohia te 9 i te 9, ka 0.

$$0$$

Tauwehe

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