Solve 6,25*10^-6/2,5*10^3

$$\frac { 6,25 \cdot 10 ^ { - 6 } } { 2,5 \cdot 10 ^ { 3 } }$$

Evaluate

$$0,0000000025$$

Solution Steps

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

$$\frac{6,25}{2,5\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{6,25}{2,5\times 1000000000}$$

Multiply 2,5 and 1000000000 to get 2500000000.

$$\frac{6,25}{2500000000}$$

Expand \frac{6,25}{2500000000} by multiplying both numerator and the denominator by 100.

$$\frac{625}{250000000000}$$

Reduce the fraction \frac{625}{250000000000} to lowest terms by extracting and canceling out 625.

$$\frac{1}{400000000}$$

Factor

$$\frac{1}{2 ^ {10} \cdot 5 ^ {8}} = 2.5 \times 10^{-9}$$