Solve 100*10^3div314*(10^-2*2)

$$100 \times { 10 }^{ 3 } \div 314 \times ( { 10 }^{ -2 \times 2 } )$$

Evaluate

$$\frac{5}{157}\approx 0.031847134$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{100\times 1000}{314}\times 10^{-2\times 2}$$

Multiply 100 and 1000 to get 100000.

$$\frac{100000}{314}\times 10^{-2\times 2}$$

Reduce the fraction \frac{100000}{314} to lowest terms by extracting and canceling out 2.

$$\frac{50000}{157}\times 10^{-2\times 2}$$

Multiply -2 and 2 to get -4.

$$\frac{50000}{157}\times 10^{-4}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{50000}{157}\times \frac{1}{10000}$$

Multiply \frac{50000}{157} and \frac{1}{10000} to get \frac{5}{157}.

$$\frac{5}{157}$$

Factor

$$\frac{5}{157} = 0.03184713375796178$$