1. Negative Exponents Intro to Algebra Farris 2015

2. I can write and evaluate expressions containing negative exponents.

3. Why do we have negative exponents? They are result of repeated division.

4. 2 methods Method 1 – Quotient of Powers X 2 _____ = x 3-5 x 5 = x -2 Method 2 – Definition of Power X 3 x  x  x ___ = ___________________ x 5 x  x  x  x  x = 1 1 ____ or _____ x  x x 2

6. A little Video http://study.com/academy/lesson/how-to- define-a-zero-and-negative-exponent.htmlhttp://study.com/academy/lesson/how-to- define-a-zero-and-negative-exponent.html

7. Let’s Do It! Write each expression using positive exponents. 3 -4 m -2 Write each fraction as an expression using a negative exponent. 1 / 125 1 / 8 4 1/3 4 1/m 2 5 -3 8 -4

8. Let’s do some more! A grain of sand has a volume of about 1/10,000 cubic millimeters. 1.Write this number using a negative exponent 2.An empty bottle used to create sand art can hold about 10 10 grains of sand. What is the approximate volume of the sand art bottle? 10 -4 10 6 mm 3