Whakaoti i te frac{4a^{4}b^-5}{4^-1a^-4b^3}=

$$\frac { 4 a ^ { 4 } b ^ { - 5 } } { 4 ^ { - 1 } a ^ { - 4 } b ^ { 3 } } =$$

Aromātai

$$16\times \left(\frac{a}{b}\right)^{8}$$

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.

$$\frac{4^{2}b^{-5}a^{8}}{b^{3}}$$

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

$$\frac{4^{2}a^{8}}{b^{8}}$$

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

$$\frac{16a^{8}}{b^{8}}$$

Kimi Pārōnaki e ai ki a

$$\frac{128a^{7}}{b^{8}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4}{b^{5}\times \frac{b^{3}}{4}}a^{4-\left(-4\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{16}{b^{8}}a^{8})$$

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}.

$$8\times \frac{16}{b^{8}}a^{8-1}$$

Mahia ngā tātaitanga.

$$\frac{128}{b^{8}}a^{7}$$