#### Answer

$$1.8\times 10^{1}$$

#### Work Step by Step

In scientific notation, the number of significant digits is the number of digits in the leading number between $1$ and $10$. The final answer should have the same number of significant digits as the least number of significant digits in any of the numbers involved in the division:
$1.4\times 10^{4}$ has $2$ significant digits
$8.0\times 10^{2}$ has $2$ significant digits
Therefore, the final answer should be rounded to have $2$ significant digits.
Rearrange factors and divide:
$$\frac{1.4\times 10^{4}}{8.0\times 10^{2}}=\bigg(\frac{1.4}{8.0}\bigg)\bigg(\frac{10^{4}}{10^{2}}\bigg)=1.8\times 10^{1}.$$