Whakaoti i te 3a^3/12a^9

$$\frac{ 3 { a }^{ 3 } }{ 12 } { a }^{ 9 }$$

Aromātai

$$\frac{a^{12}}{4}$$

Ngā Upane Otinga

Whakawehea te 3a^{3} ki te 12, kia riro ko \frac{1}{4}a^{3}.

$$\frac{1}{4}a^{3}a^{9}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 9 kia riro ai te 12.

$$\frac{1}{4}a^{12}$$

Kimi Pārōnaki e ai ki a

$$3a^{11}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakawehea te 3a^{3} ki te 12, kia riro ko \frac{1}{4}a^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{4}a^{3}a^{9})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 9 kia riro ai te 12.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{4}a^{12})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$12\times \frac{1}{4}a^{12-1}$$

Whakareatia 12 ki te \frac{1}{4}.

$$3a^{12-1}$$

Tango 1 mai i 12.

$$3a^{11}$$