Whakaoti i te a((1/2)^2)^4

$$a ( ( \frac { 1 } { 2 } ) ^ { 2 } ) ^ { 4 }$$

Aromātai

$$\frac{a}{256}$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 4 kia riro ai te 8.

$$a\times \left(\frac{1}{2}\right)^{8}$$

Tātaihia te \frac{1}{2} mā te pū o 8, kia riro ko \frac{1}{256}.

$$a\times \frac{1}{256}$$

Kimi Pārōnaki e ai ki a

$$\frac{1}{256} = 0.00390625$$

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 4 kia riro ai te 8.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times \left(\frac{1}{2}\right)^{8})$$

Tātaihia te \frac{1}{2} mā te pū o 8, kia riro ko \frac{1}{256}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times \frac{1}{256})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{1}{256}a^{1-1}$$

Tango 1 mai i 1.

$$\frac{1}{256}a^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{1}{256}\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\frac{1}{256}$$