Solve 2.05*10^-8/4*10^-2

$$\frac { 2.05 \times 10 ^ { - 8 } } { 4 \times 10 ^ { - 2 } }$$

Evaluate

$$0.0000005125$$

Solution Steps

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

$$\frac{2.05}{4\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{2.05}{4\times 1000000}$$

Multiply 4 and 1000000 to get 4000000.

$$\frac{2.05}{4000000}$$

Expand \frac{2.05}{4000000} by multiplying both numerator and the denominator by 100.

$$\frac{205}{400000000}$$

Reduce the fraction \frac{205}{400000000} to lowest terms by extracting and canceling out 5.

$$\frac{41}{80000000}$$

Factor

$$\frac{41}{2 ^ {10} \cdot 5 ^ {7}} = 5.125 \times 10^{-7}$$