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

$$\frac { ( \frac { 1 } { 2 } ) ^ { - 3 } ( \frac { 1 } { 4 } ) ^ { - 2 } } { ( \frac { 1 } { 4 } ) ^ { 3 } * ( \frac { 1 } { 3 } ) ^ { - 3 } }$$

Aromātai

$$\frac{8192}{27}\approx 303.407407407$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\frac{\left(\frac{1}{2}\right)^{-3}}{\left(\frac{1}{4}\right)^{5}\times \left(\frac{1}{3}\right)^{-3}}$$

Tātaihia te \frac{1}{2} mā te pū o -3, kia riro ko 8.

$$\frac{8}{\left(\frac{1}{4}\right)^{5}\times \left(\frac{1}{3}\right)^{-3}}$$

Tātaihia te \frac{1}{4} mā te pū o 5, kia riro ko \frac{1}{1024}.

$$\frac{8}{\frac{1}{1024}\times \left(\frac{1}{3}\right)^{-3}}$$

Tātaihia te \frac{1}{3} mā te pū o -3, kia riro ko 27.

$$\frac{8}{\frac{1}{1024}\times 27}$$

Whakareatia te \frac{1}{1024} ki te 27, ka \frac{27}{1024}.

$$\frac{8}{\frac{27}{1024}}$$

Whakawehe 8 ki te \frac{27}{1024} mā te whakarea 8 ki te tau huripoki o \frac{27}{1024}.

$$8\times \frac{1024}{27}$$

Whakareatia te 8 ki te \frac{1024}{27}, ka \frac{8192}{27}.

$$\frac{8192}{27}$$

Tauwehe

$$\frac{2 ^ {13}}{3 ^ {3}} = 303\frac{11}{27} = 303.4074074074074$$