Rešite {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

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

Ovrednoti

$$9$$

Koraki rešitve

Izračunajte potenco 5 števila 3, da dobite 125.

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

Izračunajte potenco 3 števila 2, da dobite 9.

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

Pomnožite 125 in 9, da dobite 1125.

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

Izračunajte potenco 2 števila 3, da dobite 8.

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

Izračunajte potenco 6 števila 2, da dobite 36.

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

Izračunajte potenco 6 števila 2, da dobite 36.

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

Pomnožite 36 in 15, da dobite 540.

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

Seštejte 36 in 540, da dobite 576.

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

Izračunajte potenco 2 števila 3, da dobite 8.

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

Delite 576 s/z 8, da dobite 72.

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

Izračunajte potenco 3 števila 2, da dobite 9.

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

Pomnožite 9 in 17, da dobite 153.

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

Seštejte 72 in 153, da dobite 225.

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

Izračunajte potenco 2 števila 2, da dobite 4.

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

Pomnožite 4 in 14, da dobite 56.

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

Izračunajte potenco 12 števila 2, da dobite 144.

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

Izračunajte potenco 3 števila 2, da dobite 9.

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

Delite 144 s/z 9, da dobite 16.

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

Pomnožite 16 in 2, da dobite 32.

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

Odštejte 32 od 56, da dobite 24.

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

Pomnožite 6 in 24, da dobite 144.

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

Odštejte 144 od 225, da dobite 81.

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

Pomnožite 8 in 81, da dobite 648.

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

Odštejte 648 od 1125, da dobite 477.

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

Delite 477 s/z 53, da dobite 9.

$$9$$

Faktoriziraj

$$3^{2}$$