Whakaoti i te (1/2)^{0}*[(1/2)^3]^-4:(1/3)^9*(1/3)^10=

$$( \frac { 1 } { 2 } ) ^ { 0 } \cdot [ ( \frac { 1 } { 2 } ) ^ { 3 } ] ^ { - 4 } : ( \frac { 1 } { 3 } ) ^ { 9 } \cdot ( \frac { 1 } { 3 } ) ^ { 10 } =$$

Aromātai

$$\frac{4096}{3}\approx 1365.333333333$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -4 kia riro ai te -12.

$$\frac{\left(\frac{1}{2}\right)^{0}\times \left(\frac{1}{2}\right)^{-12}}{\left(\frac{1}{3}\right)^{9}}\times \left(\frac{1}{3}\right)^{10}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 0 me te -12 kia riro ai te -12.

$$\frac{\left(\frac{1}{2}\right)^{-12}}{\left(\frac{1}{3}\right)^{9}}\times \left(\frac{1}{3}\right)^{10}$$

Tātaihia te \frac{1}{2} mā te pū o -12, kia riro ko 4096.

$$\frac{4096}{\left(\frac{1}{3}\right)^{9}}\times \left(\frac{1}{3}\right)^{10}$$

Tātaihia te \frac{1}{3} mā te pū o 9, kia riro ko \frac{1}{19683}.

$$\frac{4096}{\frac{1}{19683}}\times \left(\frac{1}{3}\right)^{10}$$

Whakawehe 4096 ki te \frac{1}{19683} mā te whakarea 4096 ki te tau huripoki o \frac{1}{19683}.

$$4096\times 19683\times \left(\frac{1}{3}\right)^{10}$$

Whakareatia te 4096 ki te 19683, ka 80621568.

$$80621568\times \left(\frac{1}{3}\right)^{10}$$

Tātaihia te \frac{1}{3} mā te pū o 10, kia riro ko \frac{1}{59049}.

$$80621568\times \frac{1}{59049}$$

Whakareatia te 80621568 ki te \frac{1}{59049}, ka \frac{4096}{3}.

$$\frac{4096}{3}$$

Tauwehe

$$\frac{2 ^ {12}}{3} = 1365\frac{1}{3} = 1365.3333333333333$$