It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents. As a matter of fact, we'll learn that positive and negative exponents have quite the opposite effect on their bases.
Scientists and engineers often deal with super huge numbers like 6,000,000,000,000,000,000,000 and super small numbers like 0.0000000000532. How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer to both questions: scientific notation.