Whakaoti i te frac{(-7)^{-2}*3^{-1}*11^{-2}*a^-4}{22^-4*21^-3*a^-6}

$$\frac { ( - 7 ) ^ { - 2 } \times 3 ^ { - 1 } \times 11 ^ { - 2 } \times a ^ { - 4 } } { 22 ^ { - 4 } \times 21 ^ { - 3 } \times a ^ { - 6 } }$$

Aromātai

$$121968a^{2}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\left(-7\right)^{-2}\times 11^{-2}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

Tātaihia te -7 mā te pū o -2, kia riro ko \frac{1}{49}.

$$\frac{\frac{1}{49}\times 11^{-2}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

Tātaihia te 11 mā te pū o -2, kia riro ko \frac{1}{121}.

$$\frac{\frac{1}{49}\times \frac{1}{121}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

Whakareatia te \frac{1}{49} ki te \frac{1}{121}, ka \frac{1}{5929}.

$$\frac{\frac{1}{5929}\times \frac{1}{3}a^{2}}{21^{-3}\times 22^{-4}}$$

Whakareatia te \frac{1}{5929} ki te \frac{1}{3}, ka \frac{1}{17787}.

$$\frac{\frac{1}{17787}a^{2}}{21^{-3}\times 22^{-4}}$$

Tātaihia te 21 mā te pū o -3, kia riro ko \frac{1}{9261}.

$$\frac{\frac{1}{17787}a^{2}}{\frac{1}{9261}\times 22^{-4}}$$

Tātaihia te 22 mā te pū o -4, kia riro ko \frac{1}{234256}.

$$\frac{\frac{1}{17787}a^{2}}{\frac{1}{9261}\times \frac{1}{234256}}$$

Whakareatia te \frac{1}{9261} ki te \frac{1}{234256}, ka \frac{1}{2169444816}.

$$\frac{\frac{1}{17787}a^{2}}{\frac{1}{2169444816}}$$

Whakawehe \frac{1}{17787}a^{2} ki te \frac{1}{2169444816} mā te whakarea \frac{1}{17787}a^{2} ki te tau huripoki o \frac{1}{2169444816}.

$$\frac{1}{17787}a^{2}\times 2169444816$$

Whakareatia te \frac{1}{17787} ki te 2169444816, ka 121968.

$$121968a^{2}$$

Kimi Pārōnaki e ai ki a

$$243936a$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{\frac{1}{17787}}{\frac{1}{2169444816}}a^{-4-\left(-6\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(121968a^{2})$$

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$2\times 121968a^{2-1}$$

Mahia ngā tātaitanga.

$$243936a^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$243936a$$