Solve (3.9*10^-5)/(7.8*10^8)

$$\frac { ( 3.9 \times 10 ^ { - 5 } ) } { ( 7.8 \times 10 ^ { 8 } ) }$$

Evaluate

$$0.00000000000005$$

Solution Steps

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

$$\frac{3.9}{7.8\times 10^{13}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{3.9}{7.8\times 10000000000000}$$

Multiply 7.8 and 10000000000000 to get 78000000000000.

$$\frac{3.9}{78000000000000}$$

Expand \frac{3.9}{78000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{39}{780000000000000}$$

Reduce the fraction \frac{39}{780000000000000} to lowest terms by extracting and canceling out 39.

$$\frac{1}{20000000000000}$$

Factor

$$\frac{1}{2 ^ {14} \cdot 5 ^ {13}} = 5 \times 10^{-14}$$