Whakaoti i te (3/2)^-2*(3/2)^3:(3/2)^4=

$$( \frac { 3 } { 2 } ) ^ { - 2 } \cdot ( \frac { 3 } { 2 } ) ^ { 3 } : ( \frac { 3 } { 2 } ) ^ { 4 } =$$

Aromātai

$$\frac{8}{27}\approx 0.296296296$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 3 kia riro ai te 1.

$$\frac{\left(\frac{3}{2}\right)^{1}}{\left(\frac{3}{2}\right)^{4}}$$

Tuhia anō te \left(\frac{3}{2}\right)^{4} hei \left(\frac{3}{2}\right)^{1}\times \left(\frac{3}{2}\right)^{3}. Me whakakore tahi te \left(\frac{3}{2}\right)^{1} i te taurunga me te tauraro.

$$\frac{1}{\left(\frac{3}{2}\right)^{3}}$$

Tātaihia te \frac{3}{2} mā te pū o 3, kia riro ko \frac{27}{8}.

$$\frac{1}{\frac{27}{8}}$$

Whakawehe 1 ki te \frac{27}{8} mā te whakarea 1 ki te tau huripoki o \frac{27}{8}.

$$1\times \frac{8}{27}$$

Whakareatia te 1 ki te \frac{8}{27}, ka \frac{8}{27}.

$$\frac{8}{27}$$

Tauwehe

$$\frac{2 ^ {3}}{3 ^ {3}} = 0.2962962962962963$$