Whakaoti i te yfrac{(-2)^{10}*5^{6}*6^3}{(-2)^6*5^3*6^2}

$$y \frac { ( - 2 ) ^ { 10 } \cdot 5 ^ { 6 } \cdot 6 ^ { 3 } } { ( - 2 ) ^ { 6 } \cdot 5 ^ { 3 } \cdot 6 ^ { 2 } }$$

Aromātai

$$12000y$$

Ngā Upane Otinga

Me whakakore tahi te \left(-2\right)^{6}\times 5^{3}\times 6^{2} i te taurunga me te tauraro.

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

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

$$y\times 6\times 16\times 5^{3}$$

Whakareatia te 6 ki te 16, ka 96.

$$y\times 96\times 5^{3}$$

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

$$y\times 96\times 125$$

Whakareatia te 96 ki te 125, ka 12000.

$$y\times 12000$$

Kimi Pārōnaki e ai ki y

$$12000$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Me whakakore tahi te \left(-2\right)^{6}\times 5^{3}\times 6^{2} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 6\left(-2\right)^{4}\times 5^{3})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 6\times 16\times 5^{3})$$

Whakareatia te 6 ki te 16, ka 96.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 96\times 5^{3})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 96\times 125)$$

Whakareatia te 96 ki te 125, ka 12000.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 12000)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$12000y^{1-1}$$

Tango 1 mai i 1.

$$12000y^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$12000\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$12000$$