Whakaoti i te (1/5+1/8i)^-1

$$( \frac { 1 } { 5 } + \frac { 1 } { 8 i } ) ^ { - 1 }$$

Aromātai

$$\frac{320}{89}+\frac{200}{89}i\approx 3.595505618+2.247191011i$$

Ngā Upane Otinga

Me whakarea tahi te taurunga me te tauraro o \frac{1}{8i} ki te wae pohewa i.

$$\left(\frac{1}{5}+\frac{i}{-8}\right)^{-1}$$

Whakawehea te i ki te -8, kia riro ko -\frac{1}{8}i.

$$\left(\frac{1}{5}-\frac{1}{8}i\right)^{-1}$$

Tātaihia te \frac{1}{5}-\frac{1}{8}i mā te pū o -1, kia riro ko \frac{320}{89}+\frac{200}{89}i.

$$\frac{320}{89}+\frac{200}{89}i$$

Wāhi Tūturu

$$\frac{320}{89} = 3\frac{53}{89} = 3.595505617977528$$

Ngā Upane Otinga

Me whakarea tahi te taurunga me te tauraro o \frac{1}{8i} ki te wae pohewa i.

$$Re(\left(\frac{1}{5}+\frac{i}{-8}\right)^{-1})$$

Whakawehea te i ki te -8, kia riro ko -\frac{1}{8}i.

$$Re(\left(\frac{1}{5}-\frac{1}{8}i\right)^{-1})$$

Tātaihia te \frac{1}{5}-\frac{1}{8}i mā te pū o -1, kia riro ko \frac{320}{89}+\frac{200}{89}i.

$$Re(\frac{320}{89}+\frac{200}{89}i)$$

Ko te wāhi tūturu o \frac{320}{89}+\frac{200}{89}i ko \frac{320}{89}.

$$\frac{320}{89}$$