Solve (08^2+08^2+02^2+22^2+{32}^{2}+{02}^{2}+{28}^2+{02}^2+{12}^2+{28}^2

$$( { 08 }^{ 2 } + { 08 }^{ 2 } + { 02 }^{ 2 } + { 22 }^{ 2 } + { 32 }^{ 2 } + { 02 }^{ 2 } + { 28 }^{ 2 } + { 02 }^{ 2 } + { 12 }^{ 2 } + { 28 }^{ 2 }$$

Evaluate

$$3360$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$64+8^{2}+2^{2}+22^{2}+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Calculate 8 to the power of 2 and get 64.

$$64+64+2^{2}+22^{2}+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Add 64 and 64 to get 128.

$$128+2^{2}+22^{2}+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Calculate 2 to the power of 2 and get 4.

$$128+4+22^{2}+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Add 128 and 4 to get 132.

$$132+22^{2}+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Calculate 22 to the power of 2 and get 484.

$$132+484+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Add 132 and 484 to get 616.

$$616+32^{2}+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Calculate 32 to the power of 2 and get 1024.

$$616+1024+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Add 616 and 1024 to get 1640.

$$1640+2^{2}+28^{2}+2^{2}+12^{2}+28^{2}$$

Calculate 2 to the power of 2 and get 4.

$$1640+4+28^{2}+2^{2}+12^{2}+28^{2}$$

Add 1640 and 4 to get 1644.

$$1644+28^{2}+2^{2}+12^{2}+28^{2}$$

Calculate 28 to the power of 2 and get 784.

$$1644+784+2^{2}+12^{2}+28^{2}$$

Add 1644 and 784 to get 2428.

$$2428+2^{2}+12^{2}+28^{2}$$

Calculate 2 to the power of 2 and get 4.

$$2428+4+12^{2}+28^{2}$$

Add 2428 and 4 to get 2432.

$$2432+12^{2}+28^{2}$$

Calculate 12 to the power of 2 and get 144.

$$2432+144+28^{2}$$

Add 2432 and 144 to get 2576.

$$2576+28^{2}$$

Calculate 28 to the power of 2 and get 784.

$$2576+784$$

Add 2576 and 784 to get 3360.

$$3360$$

Factor

$$2^{5}\times 3\times 5\times 7$$