Whakaoti i te (81)^frac{3{4}}-(1/32)^frac{-2{3}}+x(1/2)^-1*2^0=27

$$( 81 ) ^ { \frac { 3 } { 4 } } - ( \frac { 1 } { 32 } ) ^ { \frac { - 2 } { 3 } } + x ( \frac { 1 } { 2 } ) ^ { - 1 } \cdot 2 ^ { 0 } = 27$$

Whakaoti mō x

$$x=4\sqrt[3]{2}\approx 5.0396842$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 81 mā te pū o \frac{3}{4}, kia riro ko 27.

$$27-\left(\frac{1}{32}\right)^{\frac{-2}{3}}+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

Ka taea te hautanga \frac{-2}{3} te tuhi anō ko -\frac{2}{3} mā te tango i te tohu tōraro.

$$27-\left(\frac{1}{32}\right)^{-\frac{2}{3}}+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

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

$$27-\left(\frac{1}{32}\right)^{-\frac{2}{3}}+x\times 2\times 2^{0}=27$$

Tātaihia te 2 mā te pū o 0, kia riro ko 1.

$$27-\left(\frac{1}{32}\right)^{-\frac{2}{3}}+x\times 2\times 1=27$$

Whakareatia te 2 ki te 1, ka 2.

$$27-\left(\frac{1}{32}\right)^{-\frac{2}{3}}+x\times 2=27$$

Tangohia te 27-\left(\frac{1}{32}\right)^{-\frac{2}{3}} mai i ngā taha e rua.

$$x\times 2=27-\left(27-\left(\frac{1}{32}\right)^{-\frac{2}{3}}\right)$$

Hei kimi i te tauaro o 27-\left(\frac{1}{32}\right)^{-\frac{2}{3}}, kimihia te tauaro o ia taurangi.

$$x\times 2=27-27+\left(\frac{1}{32}\right)^{-\frac{2}{3}}$$

Tangohia te 27 i te 27, ka 0.

$$x\times 2=\left(\frac{1}{32}\right)^{-\frac{2}{3}}$$

He hanga arowhānui tō te whārite.

$$2x=4\times 4^{\frac{2}{3}}$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2x}{2}=\frac{4\times 4^{\frac{2}{3}}}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$x=\frac{4\times 4^{\frac{2}{3}}}{2}$$

Whakawehe 4\times 4^{\frac{2}{3}} ki te 2.

$$x=4\sqrt[3]{2}$$