Solve 4*10^-11/3.2*10^-2

$$\frac { 4 \cdot 10 ^ { - 11 } } { 3.2 \cdot 10 ^ { - 2 } }$$

Evaluate

$$0.00000000125$$

Solution Steps

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

$$\frac{4}{3.2\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{4}{3.2\times 1000000000}$$

Multiply 3.2 and 1000000000 to get 3200000000.

$$\frac{4}{3200000000}$$

Reduce the fraction \frac{4}{3200000000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{800000000}$$

Factor

$$\frac{1}{2 ^ {11} \cdot 5 ^ {8}} = 1.25 \times 10^{-9}$$