Solve 3*10^8*2:33*10^-6

$$3 \times 10 ^ { 8 } \times 2 : 33 \times 10 ^ { - 6 }$$

Evaluate

$$\frac{200}{11}\approx 18.181818182$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{3\times 100000000\times 2}{33}\times 10^{-6}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{300000000\times 2}{33}\times 10^{-6}$$

Multiply 300000000 and 2 to get 600000000.

$$\frac{600000000}{33}\times 10^{-6}$$

Reduce the fraction \frac{600000000}{33} to lowest terms by extracting and canceling out 3.

$$\frac{200000000}{11}\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{200000000}{11}\times \frac{1}{1000000}$$

Multiply \frac{200000000}{11} and \frac{1}{1000000} to get \frac{200}{11}.

$$\frac{200}{11}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{11} = 18\frac{2}{11} = 18.181818181818183$$