Solve (32*10^3)^2+(543*10^4)^2

$$( 32 \times 10 ^ { 3 } ) ^ { 2 } + ( 543 \times 10 ^ { 4 } ) ^ { 2 }$$

Evaluate

$$29485924000000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(32\times 1000\right)^{2}+\left(543\times 10^{4}\right)^{2}$$

Multiply 32 and 1000 to get 32000.

$$32000^{2}+\left(543\times 10^{4}\right)^{2}$$

Calculate 32000 to the power of 2 and get 1024000000.

$$1024000000+\left(543\times 10^{4}\right)^{2}$$

Calculate 10 to the power of 4 and get 10000.

$$1024000000+\left(543\times 10000\right)^{2}$$

Multiply 543 and 10000 to get 5430000.

$$1024000000+5430000^{2}$$

Calculate 5430000 to the power of 2 and get 29484900000000.

$$1024000000+29484900000000$$

Add 1024000000 and 29484900000000 to get 29485924000000.

$$29485924000000$$

Factor

$$2^{8}\times 5^{6}\times 13\times 29\times 19553$$