Solve 3^2+6^2+9^2+12^2+{15}^{2}+{18}^2+{21}^2+{24}^2+{27}^

$${ 3 }^{ 2 } + { 6 }^{ 2 } + { 9 }^{ 2 } + { 12 }^{ 2 } + { 15 }^{ 2 } + { 18 }^{ 2 } + { 21 }^{ 2 } + { 24 }^{ 2 } + { 27 }^{ }$$

Evaluate

$$1863$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9+6^{2}+9^{2}+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Calculate 6 to the power of 2 and get 36.

$$9+36+9^{2}+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Add 9 and 36 to get 45.

$$45+9^{2}+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Calculate 9 to the power of 2 and get 81.

$$45+81+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Add 45 and 81 to get 126.

$$126+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Calculate 12 to the power of 2 and get 144.

$$126+144+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Add 126 and 144 to get 270.

$$270+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

Calculate 15 to the power of 2 and get 225.

$$270+225+18^{2}+21^{2}+24^{2}+27^{1}$$

Add 270 and 225 to get 495.

$$495+18^{2}+21^{2}+24^{2}+27^{1}$$

Calculate 18 to the power of 2 and get 324.

$$495+324+21^{2}+24^{2}+27^{1}$$

Add 495 and 324 to get 819.

$$819+21^{2}+24^{2}+27^{1}$$

Calculate 21 to the power of 2 and get 441.

$$819+441+24^{2}+27^{1}$$

Add 819 and 441 to get 1260.

$$1260+24^{2}+27^{1}$$

Calculate 24 to the power of 2 and get 576.

$$1260+576+27^{1}$$

Add 1260 and 576 to get 1836.

$$1836+27^{1}$$

Calculate 27 to the power of 1 and get 27.

$$1836+27$$

Add 1836 and 27 to get 1863.

$$1863$$

Factor

$$3^{4}\times 23$$