Whakaoti i te (-2^{2})^{3}:(+2)^{4}-(-5)^3*(+5)^5:(-5)^6-(-20)^2:(-25)=

$$( - 2 ^ { 2 } ) ^ { 3 } : ( + 2 ) ^ { 4 } - ( - 5 ) ^ { 3 } \cdot ( + 5 ) ^ { 5 } : ( - 5 ) ^ { 6 } - ( - 20 ) ^ { 2 } : ( - 25 ) =$$

Aromātai

$$37$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\frac{\left(-4\right)^{3}}{2^{4}}-\frac{\left(-5\right)^{3}\times 5^{5}}{\left(-5\right)^{6}}-\frac{\left(-20\right)^{2}}{-25}$$

Tātaihia te -4 mā te pū o 3, kia riro ko -64.

$$\frac{-64}{2^{4}}-\frac{\left(-5\right)^{3}\times 5^{5}}{\left(-5\right)^{6}}-\frac{\left(-20\right)^{2}}{-25}$$

Tātaihia te 2 mā te pū o 4, kia riro ko 16.

$$\frac{-64}{16}-\frac{\left(-5\right)^{3}\times 5^{5}}{\left(-5\right)^{6}}-\frac{\left(-20\right)^{2}}{-25}$$

Whakawehea te -64 ki te 16, kia riro ko -4.

$$-4-\frac{\left(-5\right)^{3}\times 5^{5}}{\left(-5\right)^{6}}-\frac{\left(-20\right)^{2}}{-25}$$

Me whakakore tahi te \left(-5\right)^{3} i te taurunga me te tauraro.

$$-4-\frac{5^{5}}{\left(-5\right)^{3}}-\frac{\left(-20\right)^{2}}{-25}$$

Tātaihia te 5 mā te pū o 5, kia riro ko 3125.

$$-4-\frac{3125}{\left(-5\right)^{3}}-\frac{\left(-20\right)^{2}}{-25}$$

Tātaihia te -5 mā te pū o 3, kia riro ko -125.

$$-4-\frac{3125}{-125}-\frac{\left(-20\right)^{2}}{-25}$$

Whakawehea te 3125 ki te -125, kia riro ko -25.

$$-4-\left(-25\right)-\frac{\left(-20\right)^{2}}{-25}$$

Ko te tauaro o -25 ko 25.

$$-4+25-\frac{\left(-20\right)^{2}}{-25}$$

Tāpirihia te -4 ki te 25, ka 21.

$$21-\frac{\left(-20\right)^{2}}{-25}$$

Tātaihia te -20 mā te pū o 2, kia riro ko 400.

$$21-\frac{400}{-25}$$

Whakawehea te 400 ki te -25, kia riro ko -16.

$$21-\left(-16\right)$$

Ko te tauaro o -16 ko 16.

$$21+16$$

Tāpirihia te 21 ki te 16, ka 37.

$$37$$

Tauwehe

$$37$$