Bell Work

Earlier in this chapter you learned how to write large numbers in scientific notation. Astronomers use those large numbers to measure great distances in space. Not all scientists work with such a large scale, however. Some scientists use very small numbers to describe what they measure under a microscope. In this lesson, you will continue your work with exponents, and then you will turn your attention to using scientific notation to represent small numbers.

8-83. Create a fraction from these expressions, and then show how you use a Giant One to simplify. a.6 5 · 6 −3 b.w 5 w −2 c.10 −4 · 10 5

8-84. Now it is time to reverse your thinking. If negative exponents can create fractions, then can fractions be written as expressions with negative exponents? Simplify the expressions below. Write your answer in two different forms: as a fraction and as an expression with a negative exponent.

Extra Practice