Whakaoti i te (5x^1/2)(7x^1/5)=

$$( 5 x ^ { 1 / 2 } ) ( 7 x ^ { 1 / 5 } ) =$$

Aromātai

$$35x^{\frac{7}{10}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te \frac{1}{2} me te \frac{1}{5} kia riro ai te \frac{7}{10}.

$$5x^{\frac{7}{10}}\times 7$$

Whakareatia te 5 ki te 7, ka 35.

$$35x^{\frac{7}{10}}$$

Kimi Pārōnaki e ai ki x

$$\frac{49}{2x^{\frac{3}{10}}}$$

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 \frac{1}{2} me te \frac{1}{5} kia riro ai te \frac{7}{10}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{\frac{7}{10}}\times 7)$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{\mathrm{d}}{\mathrm{d}x}(35x^{\frac{7}{10}})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{7}{10}\times 35x^{\frac{7}{10}-1}$$

Whakareatia \frac{7}{10} ki te 35.

$$\frac{49}{2}x^{\frac{7}{10}-1}$$

Tango 1 mai i \frac{7}{10}.

$$\frac{49}{2}x^{-\frac{3}{10}}$$