Whakaoti i te (3/4)^5*(3/4)^-2/(frac{3{4})^-1*(3/4)^6}

$$\frac { ( \frac { 3 } { 4 } ) ^ { 5 } \cdot ( \frac { 3 } { 4 } ) ^ { - 2 } } { ( \frac { 3 } { 4 } ) ^ { - 1 } \cdot ( \frac { 3 } { 4 } ) ^ { 6 } }$$

Aromātai

$$\frac{16}{9}\approx 1.777777778$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te -2 kia riro ai te 3.

$$\frac{\left(\frac{3}{4}\right)^{3}}{\left(\frac{3}{4}\right)^{-1}\times \left(\frac{3}{4}\right)^{6}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -1 me te 6 kia riro ai te 5.

$$\frac{\left(\frac{3}{4}\right)^{3}}{\left(\frac{3}{4}\right)^{5}}$$

Tuhia anō te \left(\frac{3}{4}\right)^{5} hei \left(\frac{3}{4}\right)^{3}\times \left(\frac{3}{4}\right)^{2}. Me whakakore tahi te \left(\frac{3}{4}\right)^{3} i te taurunga me te tauraro.

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

Tātaihia te \frac{3}{4} mā te pū o 2, kia riro ko \frac{9}{16}.

$$\frac{1}{\frac{9}{16}}$$

Whakawehe 1 ki te \frac{9}{16} mā te whakarea 1 ki te tau huripoki o \frac{9}{16}.

$$1\times \frac{16}{9}$$

Whakareatia te 1 ki te \frac{16}{9}, ka \frac{16}{9}.

$$\frac{16}{9}$$

Tauwehe

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$