Solve 13^2+9^2+5^2+2^2+{4}^2+{7}^2+{14}^2

$${ 13 }^{ 2 } + { 9 }^{ 2 } + { 5 }^{ 2 } + { 2 }^{ 2 } + { 4 }^{ 2 } + { 7 }^{ 2 } + { 14 }^{ 2 }$$

Evaluate

$$540$$

Solution Steps

Calculate 13 to the power of 2 and get 169.

$$169+9^{2}+5^{2}+2^{2}+4^{2}+7^{2}+14^{2}$$

Calculate 9 to the power of 2 and get 81.

$$169+81+5^{2}+2^{2}+4^{2}+7^{2}+14^{2}$$

Add 169 and 81 to get 250.

$$250+5^{2}+2^{2}+4^{2}+7^{2}+14^{2}$$

Calculate 5 to the power of 2 and get 25.

$$250+25+2^{2}+4^{2}+7^{2}+14^{2}$$

Add 250 and 25 to get 275.

$$275+2^{2}+4^{2}+7^{2}+14^{2}$$

Calculate 2 to the power of 2 and get 4.

$$275+4+4^{2}+7^{2}+14^{2}$$

Add 275 and 4 to get 279.

$$279+4^{2}+7^{2}+14^{2}$$

Calculate 4 to the power of 2 and get 16.

$$279+16+7^{2}+14^{2}$$

Add 279 and 16 to get 295.

$$295+7^{2}+14^{2}$$

Calculate 7 to the power of 2 and get 49.

$$295+49+14^{2}$$

Add 295 and 49 to get 344.

$$344+14^{2}$$

Calculate 14 to the power of 2 and get 196.

$$344+196$$

Add 344 and 196 to get 540.

$$540$$

Factor

$$2^{2}\times 3^{3}\times 5$$