Solve 3.2*10^-8/5.1*10^-2

$$\frac { 3.2 \times 10 ^ { - 8 } } { 5.1 \times 10 ^ { - 2 } }$$

Evaluate

$$\frac{1}{1593750}\approx 0.000000627$$

Solution Steps

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

$$\frac{3.2}{5.1\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{3.2}{5.1\times 1000000}$$

Multiply 5.1 and 1000000 to get 5100000.

$$\frac{3.2}{5100000}$$

Expand \frac{3.2}{5100000} by multiplying both numerator and the denominator by 10.

$$\frac{32}{51000000}$$

Reduce the fraction \frac{32}{51000000} to lowest terms by extracting and canceling out 32.

$$\frac{1}{1593750}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 17 \cdot 5 ^ {6}} = 6.2745098039215685 \times 10^{-7}$$