Atrisiniet {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

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

Izrēķināt

$$9$$

Atrisinājuma darbības

Aprēķiniet 5 pakāpē 3 un iegūstiet 125.

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

Aprēķiniet 3 pakāpē 2 un iegūstiet 9.

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

Reiziniet 125 un 9, lai iegūtu 1125.

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

Aprēķiniet 2 pakāpē 3 un iegūstiet 8.

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

Aprēķiniet 6 pakāpē 2 un iegūstiet 36.

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

Aprēķiniet 6 pakāpē 2 un iegūstiet 36.

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

Reiziniet 36 un 15, lai iegūtu 540.

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

Saskaitiet 36 un 540, lai iegūtu 576.

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

Aprēķiniet 2 pakāpē 3 un iegūstiet 8.

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

Daliet 576 ar 8, lai iegūtu 72.

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

Aprēķiniet 3 pakāpē 2 un iegūstiet 9.

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

Reiziniet 9 un 17, lai iegūtu 153.

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

Saskaitiet 72 un 153, lai iegūtu 225.

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

Aprēķiniet 2 pakāpē 2 un iegūstiet 4.

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

Reiziniet 4 un 14, lai iegūtu 56.

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

Aprēķiniet 12 pakāpē 2 un iegūstiet 144.

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

Aprēķiniet 3 pakāpē 2 un iegūstiet 9.

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

Daliet 144 ar 9, lai iegūtu 16.

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

Reiziniet 16 un 2, lai iegūtu 32.

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

Atņemiet 32 no 56, lai iegūtu 24.

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

Reiziniet 6 un 24, lai iegūtu 144.

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

Atņemiet 144 no 225, lai iegūtu 81.

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

Reiziniet 8 un 81, lai iegūtu 648.

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

Atņemiet 648 no 1125, lai iegūtu 477.

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

Daliet 477 ar 53, lai iegūtu 9.

$$9$$

Sadalīt reizinātājos

$$3^{2}$$