Whakaoti i te q^9/q^-8*q^-3

$$\frac { q ^ { 9 } } { q ^ { - 8 } \cdot q ^ { - 3 } }$$

Aromātai

$$q^{20}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -8 me te -3 kia riro ai te -11.

$$\frac{q^{9}}{q^{-11}}$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te -11 i te 9 kia riro ai te 20.

$$q^{20}$$

Kimi Pārōnaki e ai ki q

$$20q^{19}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -8 me te -3 kia riro ai te -11.

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{q^{9}}{q^{-11}})$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te -11 i te 9 kia riro ai te 20.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q^{20})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$20q^{20-1}$$

Tango 1 mai i 20.

$$20q^{19}$$