Solve (2*10^3)^2(1/2*10^4)

$$( 2 \times 10 ^ { 3 } ) ^ { 2 } ( \frac { 1 } { 2 } \times 10 ^ { 4 } )$$

Evaluate

$$20000000000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(2\times 1000\right)^{2}\times \frac{1}{2}\times 10^{4}$$

Multiply 2 and 1000 to get 2000.

$$2000^{2}\times \frac{1}{2}\times 10^{4}$$

Calculate 2000 to the power of 2 and get 4000000.

$$4000000\times \frac{1}{2}\times 10^{4}$$

Multiply 4000000 and \frac{1}{2} to get 2000000.

$$2000000\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$2000000\times 10000$$

Multiply 2000000 and 10000 to get 20000000000.

$$20000000000$$

Factor

$$2^{11}\times 5^{10}$$