Solve 500*4/200*10^9*0.05*10^-4

$$\frac { 500 \times 4 } { 200 \times 10 ^ { 9 } \times 0.05 \times 10 ^ { - 4 } }$$

Evaluate

$$0.002$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -4 to get 5.

$$\frac{500\times 4}{200\times 10^{5}\times 0.05}$$

Cancel out 2\times 100 in both numerator and denominator.

$$\frac{2\times 5}{0.05\times 10^{5}}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{0.05\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{10}{0.05\times 100000}$$

Multiply 0.05 and 100000 to get 5000.

$$\frac{10}{5000}$$

Reduce the fraction \frac{10}{5000} to lowest terms by extracting and canceling out 10.

$$\frac{1}{500}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 ^ {3}} = 0.002$$