1. Starter (On your own paper) Solve for x. 4 𝑥−3 = 𝑥−3 𝑥−3 + 1 𝑥−3
January 9, 2015

2. Questions?

3. Examples 1
𝑥 3𝑥 = 3 6 − 1 2𝑥
1+ 1 2𝑛 = 2 𝑛

4. Examples 2
1 3 − 1 3𝑎 = 2 𝑎
1 𝑎+6 −1= 2 𝑎+6

5. Simplifying Radicals 𝑛 𝑥 Examples: 2 36 3 27 4 16
If the index is odd, the answer can be positive or negative
If the index is even, the answer can only be positive

6. Multiplying & Dividing Radicals
Multiplication
2 ∙ 3 = 2∙3
3 4 ∙ 3 5 = 3 4∙5
Division
= 2 3 =

7. Adding & Subtracting Radicals
=7 2 =
Example:
Are the radicals the same? No.
Can we simplify either radical? Yes.
Now are the radicals the same?

8. Rational Exponents
𝑛 𝑥 𝑎 = 𝑥 𝑎 𝑛 1 𝑥 2 = 𝑥 −2 1 𝑛 𝑥 𝑎 = 𝑥 − 𝑎 𝑛 Example: = 2 64 =8 1 4 = = 2 −2 1 ( 𝑣 ) 3 = 𝑣 −3 = 𝑣 −3 2