Solve (0,002)*(2,52*10^-4)/10^-3

$$\frac { ( 0,002 ) \times ( 2,52 \times 10 ^ { - 4 } ) } { 10 ^ { - 3 } }$$

Evaluate

$$0,000504$$

Solution Steps

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

$$\frac{0,002\times 2,52}{10^{1}}$$

Multiply 0,002 and 2,52 to get 0,00504.

$$\frac{0,00504}{10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{0,00504}{10}$$

Expand \frac{0,00504}{10} by multiplying both numerator and the denominator by 100000.

$$\frac{504}{1000000}$$

Reduce the fraction \frac{504}{1000000} to lowest terms by extracting and canceling out 8.

$$\frac{63}{125000}$$

Factor

$$\frac{7 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {6}} = 0.000504$$