Solve 2.4*10^-5/6*10^9

$$\frac { 2.4 \times 10 ^ { - 5 } } { 6 \times 10 ^ { 9 } }$$

Evaluate

$$0.000000000000004$$

Solution Steps

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

$$\frac{2.4}{6\times 10^{14}}$$

Calculate 10 to the power of 14 and get 100000000000000.

$$\frac{2.4}{6\times 100000000000000}$$

Multiply 6 and 100000000000000 to get 600000000000000.

$$\frac{2.4}{600000000000000}$$

Expand \frac{2.4}{600000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{24}{6000000000000000}$$

Reduce the fraction \frac{24}{6000000000000000} to lowest terms by extracting and canceling out 24.

$$\frac{1}{250000000000000}$$

Factor

$$\frac{1}{2 ^ {13} \cdot 5 ^ {15}} = 4 \times 10^{-15}$$