Solve (2800)(3*10^8)^2(8.85*10^-12)

$$( 2800 ) ( 3 \times 10 ^ { 8 } ) ^ { 2 } ( 8.85 \times 10 ^ { - 12 } )$$

Evaluate

$$2230200000$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$2800\times \left(3\times 100000000\right)^{2}\times 8.85\times 10^{-12}$$

Multiply 3 and 100000000 to get 300000000.

$$2800\times 300000000^{2}\times 8.85\times 10^{-12}$$

Calculate 300000000 to the power of 2 and get 90000000000000000.

$$2800\times 90000000000000000\times 8.85\times 10^{-12}$$

Multiply 2800 and 90000000000000000 to get 252000000000000000000.

$$252000000000000000000\times 8.85\times 10^{-12}$$

Multiply 252000000000000000000 and 8.85 to get 2230200000000000000000.

$$2230200000000000000000\times 10^{-12}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$2230200000000000000000\times \frac{1}{1000000000000}$$

Multiply 2230200000000000000000 and \frac{1}{1000000000000} to get 2230200000.

$$2230200000$$

Factor

$$7\times 59\times 2^{6}\times 3^{3}\times 5^{5}$$