1. Negative Exponents and Reciprocals

2. Exponent Laws… what happens for each of the following examples?
Exponent to an Exponent
Division
Multiplication

3. Reciprocals
Two numbers with the product of 1 are defined to be reciprocals.
Ie and x =
What is the reciprocal of: 2 3

4. The Law of Negative Exponents
When x is any non-zero number and n is a rational number:
x-n = 1 and 1 = xn
xn x-n
Examples: x-7 = x7
1 = x x-2

5. The Law of Negative Exponents

6. Discuss as a class… Turn to p. 233
3 a) b)
c) d)
5. Given that 210 = 1024, what is 2-10?

7. Homework Time!