Solve 2*0.01*10^-3/580*10^-9

$$\frac { 2 \times 0.01 \times 10 ^ { - 3 } } { 580 \times 10 ^ { - 9 } }$$

Evaluate

$$\frac{1000}{29}\approx 34.482758621$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{0.01\times 10^{-3}}{290\times 10^{-9}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{0.01\times 10^{6}}{290}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{0.01\times 1000000}{290}$$

Multiply 0.01 and 1000000 to get 10000.

$$\frac{10000}{290}$$

Reduce the fraction \frac{10000}{290} to lowest terms by extracting and canceling out 10.

$$\frac{1000}{29}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{29} = 34\frac{14}{29} = 34.48275862068966$$