Whakaoti i te (frac{2^{2}+3^{3}+4^2}{2^4*3^2})^2

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

Aromātai

$$\frac{2209}{20736}\approx 0.106529707$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

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

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

$$\left(\frac{4+27+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

Tāpirihia te 4 ki te 27, ka 31.

$$\left(\frac{31+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\left(\frac{31+16}{2^{4}\times 3^{2}}\right)^{2}$$

Tāpirihia te 31 ki te 16, ka 47.

$$\left(\frac{47}{2^{4}\times 3^{2}}\right)^{2}$$

Tātaihia te 2 mā te pū o 4, kia riro ko 16.

$$\left(\frac{47}{16\times 3^{2}}\right)^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\left(\frac{47}{16\times 9}\right)^{2}$$

Whakareatia te 16 ki te 9, ka 144.

$$\left(\frac{47}{144}\right)^{2}$$

Tātaihia te \frac{47}{144} mā te pū o 2, kia riro ko \frac{2209}{20736}.

$$\frac{2209}{20736}$$

Tauwehe

$$\frac{47 ^ {2}}{2 ^ {8} \cdot 3 ^ {4}} = 0.10652970679012345$$