Issolvi {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

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

Evalwa

$$9$$

Passi tas-Soluzzjonijiet

Ikkalkula 5 bil-power ta' 3 u tikseb 125.

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

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

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

Immultiplika 125 u 9 biex tikseb 1125.

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

Ikkalkula 2 bil-power ta' 3 u tikseb 8.

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

Ikkalkula 6 bil-power ta' 2 u tikseb 36.

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

Ikkalkula 6 bil-power ta' 2 u tikseb 36.

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

Immultiplika 36 u 15 biex tikseb 540.

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

Żid 36 u 540 biex tikseb 576.

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

Ikkalkula 2 bil-power ta' 3 u tikseb 8.

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

Iddividi 576 b'8 biex tikseb72.

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

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

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

Immultiplika 9 u 17 biex tikseb 153.

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

Żid 72 u 153 biex tikseb 225.

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

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

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

Immultiplika 4 u 14 biex tikseb 56.

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

Ikkalkula 12 bil-power ta' 2 u tikseb 144.

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

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

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

Iddividi 144 b'9 biex tikseb16.

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

Immultiplika 16 u 2 biex tikseb 32.

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

Naqqas 32 minn 56 biex tikseb 24.

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

Immultiplika 6 u 24 biex tikseb 144.

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

Naqqas 144 minn 225 biex tikseb 81.

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

Immultiplika 8 u 81 biex tikseb 648.

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

Naqqas 648 minn 1125 biex tikseb 477.

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

Iddividi 477 b'53 biex tikseb9.

$$9$$

Fattur

$$3^{2}$$