Whakaoti i te (b^2)^5/b^4

$$\frac { ( b ^ { 2 } ) ^ { 5 } } { b ^ { 4 } }$$

Aromātai

$$b^{6}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(b^{2}\right)^{5}\times \frac{1}{b^{4}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

$$b^{2\times 5}b^{4\left(-1\right)}$$

Whakareatia 2 ki te 5.

$$b^{10}b^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$b^{10}b^{-4}$$

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$b^{10-4}$$

Tāpirihia ngā taupū 10 me -4.

$$b^{6}$$

Kimi Pārōnaki e ai ki b

$$6b^{5}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 5 kia riro ai te 10.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b^{10}}{b^{4}})$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 4 i te 10 kia riro ai te 6.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{6})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$6b^{6-1}$$

Tango 1 mai i 6.

$$6b^{5}$$