Whakaoti i te (1/5)^-2*(2/3)^3+3^-2*3^5

$$( 1 / 5 ) ^ { - 2 } \cdot ( 2 / 3 ) ^ { 3 } + 3 ^ { - 2 } \cdot 3 ^ { 5 }$$

Aromātai

$$\frac{929}{27}\approx 34.407407407$$

Ngā Upane Otinga

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

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

Tātaihia te \frac{1}{5} mā te pū o -2, kia riro ko 25.

$$25\times \left(\frac{2}{3}\right)^{3}+3^{3}$$

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

$$25\times \frac{8}{27}+3^{3}$$

Whakareatia te 25 ki te \frac{8}{27}, ka \frac{200}{27}.

$$\frac{200}{27}+3^{3}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\frac{200}{27}+27$$

Tāpirihia te \frac{200}{27} ki te 27, ka \frac{929}{27}.

$$\frac{929}{27}$$

Tauwehe

$$\frac{929}{3 ^ {3}} = 34\frac{11}{27} = 34.407407407407405$$