Whakaoti i te (2^2*2^3)-sqrt[3]{8*27}+3^-2=

$$( 2 ^ { 2 } \cdot 2 ^ { 3 } ) - \sqrt[ 3 ] { 8 \cdot 27 } + 3 ^ { - 2 } =$$

Aromātai

$$\frac{235}{9}\approx 26.111111111$$

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 5.

$$2^{5}-\sqrt[3]{8\times 27}+3^{-2}$$

Tātaihia te 2 mā te pū o 5, kia riro ko 32.

$$32-\sqrt[3]{8\times 27}+3^{-2}$$

Whakareatia te 8 ki te 27, ka 216.

$$32-\sqrt[3]{216}+3^{-2}$$

Tātaitia te \sqrt[3]{216} kia tae ki 6.

$$32-6+3^{-2}$$

Tangohia te 6 i te 32, ka 26.

$$26+3^{-2}$$

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$26+\frac{1}{9}$$

Tāpirihia te 26 ki te \frac{1}{9}, ka \frac{235}{9}.

$$\frac{235}{9}$$

Tauwehe

$$\frac{5 \cdot 47}{3 ^ {2}} = 26\frac{1}{9} = 26.11111111111111$$