Solve (3.2*10^3)^2+(5.43*10^4)^2

$$( 3.2 \times 10 ^ { 3 } ) ^ { 2 } + ( 5.43 \times 10 ^ { 4 } ) ^ { 2 }$$

Evaluate

$$2958730000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(3.2\times 1000\right)^{2}+\left(5.43\times 10^{4}\right)^{2}$$

Multiply 3.2 and 1000 to get 3200.

$$3200^{2}+\left(5.43\times 10^{4}\right)^{2}$$

Calculate 3200 to the power of 2 and get 10240000.

$$10240000+\left(5.43\times 10^{4}\right)^{2}$$

Calculate 10 to the power of 4 and get 10000.

$$10240000+\left(5.43\times 10000\right)^{2}$$

Multiply 5.43 and 10000 to get 54300.

$$10240000+54300^{2}$$

Calculate 54300 to the power of 2 and get 2948490000.

$$10240000+2948490000$$

Add 10240000 and 2948490000 to get 2958730000.

$$2958730000$$

Factor

$$295873\times 2^{4}\times 5^{4}$$