Whakaoti i te 3i^14a=4^-frac{1{2}}*b

$$3 i ^ { 14 } a = 4 ^ { - \frac { 1 } { 2 } } \cdot b$$

Whakaoti mō a

$$a=-\frac{b}{6}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te i mā te pū o 14, kia riro ko -1.

$$3\left(-1\right)a=4^{-\frac{1}{2}}b$$

Whakareatia te 3 ki te -1, ka -3.

$$-3a=4^{-\frac{1}{2}}b$$

Tātaihia te 4 mā te pū o -\frac{1}{2}, kia riro ko \frac{1}{2}.

$$-3a=\frac{1}{2}b$$

He hanga arowhānui tō te whārite.

$$-3a=\frac{b}{2}$$

Whakawehea ngā taha e rua ki te -3.

$$\frac{-3a}{-3}=\frac{b}{-3\times 2}$$

Mā te whakawehe ki te -3 ka wetekia te whakareanga ki te -3.

$$a=\frac{b}{-3\times 2}$$

Whakawehe \frac{b}{2} ki te -3.

$$a=-\frac{b}{6}$$

Whakaoti mō b

$$b=-6a$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te i mā te pū o 14, kia riro ko -1.

$$3\left(-1\right)a=4^{-\frac{1}{2}}b$$

Whakareatia te 3 ki te -1, ka -3.

$$-3a=4^{-\frac{1}{2}}b$$

Tātaihia te 4 mā te pū o -\frac{1}{2}, kia riro ko \frac{1}{2}.

$$-3a=\frac{1}{2}b$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{1}{2}b=-3a$$

Me whakarea ngā taha e rua ki te 2.

$$\frac{\frac{1}{2}b}{\frac{1}{2}}=-\frac{3a}{\frac{1}{2}}$$

Mā te whakawehe ki te \frac{1}{2} ka wetekia te whakareanga ki te \frac{1}{2}.

$$b=-\frac{3a}{\frac{1}{2}}$$

Whakawehe -3a ki te \frac{1}{2} mā te whakarea -3a ki te tau huripoki o \frac{1}{2}.

$$b=-6a$$