Whakaoti i te {5^{3}*3^{2}-2^{3}*[(6^{2}+6^{2}*15):2^{3}+3^2*17-6*(2^2*14-12^2:3^2*2)]}:53

$$\{ 5 ^ { 3 } \cdot 3 ^ { 2 } - 2 ^ { 3 } \cdot [ ( 6 ^ { 2 } + 6 ^ { 2 } \cdot 15 ) : 2 ^ { 3 } + 3 ^ { 2 } \cdot 17 - 6 \cdot ( 2 ^ { 2 } \cdot 14 - 12 ^ { 2 } : 3 ^ { 2 } \cdot 2 ) ] \} : 53$$

Aromātai

$$9$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 3, kia riro ko 125.

$$\frac{125\times 3^{2}-2^{3}\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{125\times 9-2^{3}\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Whakareatia te 125 ki te 9, ka 1125.

$$\frac{1125-2^{3}\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{1125-8\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\frac{1125-8\left(\frac{36+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\frac{1125-8\left(\frac{36+36\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Whakareatia te 36 ki te 15, ka 540.

$$\frac{1125-8\left(\frac{36+540}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tāpirihia te 36 ki te 540, ka 576.

$$\frac{1125-8\left(\frac{576}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{1125-8\left(\frac{576}{8}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Whakawehea te 576 ki te 8, kia riro ko 72.

$$\frac{1125-8\left(72+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(72+9\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Whakareatia te 9 ki te 17, ka 153.

$$\frac{1125-8\left(72+153-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tāpirihia te 72 ki te 153, ka 225.

$$\frac{1125-8\left(225-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(225-6\left(4\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Whakareatia te 4 ki te 14, ka 56.

$$\frac{1125-8\left(225-6\left(56-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\frac{1125-8\left(225-6\left(56-\frac{144}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(225-6\left(56-\frac{144}{9}\times 2\right)\right)}{53}$$

Whakawehea te 144 ki te 9, kia riro ko 16.

$$\frac{1125-8\left(225-6\left(56-16\times 2\right)\right)}{53}$$

Whakareatia te 16 ki te 2, ka 32.

$$\frac{1125-8\left(225-6\left(56-32\right)\right)}{53}$$

Tangohia te 32 i te 56, ka 24.

$$\frac{1125-8\left(225-6\times 24\right)}{53}$$

Whakareatia te 6 ki te 24, ka 144.

$$\frac{1125-8\left(225-144\right)}{53}$$

Tangohia te 144 i te 225, ka 81.

$$\frac{1125-8\times 81}{53}$$

Whakareatia te 8 ki te 81, ka 648.

$$\frac{1125-648}{53}$$

Tangohia te 648 i te 1125, ka 477.

$$\frac{477}{53}$$

Whakawehea te 477 ki te 53, kia riro ko 9.

$$9$$

Tauwehe

$$3^{2}$$