1. Algebra II 7-4
Rational Exponents

2. Rational Exponents
𝑛 𝑏 𝑎 = 𝑏 𝑎 𝑛
3 7
7 1 3
7 6 3
6 3 7

3. Rational Exponent Properties
𝑎 𝑚 ∗ 𝑎 𝑛 = 𝑎 𝑚+𝑛 ∗ = = 4 1 𝑎 𝑚 𝑛 = 𝑎 𝑚∗𝑛 = 7 3∗ 1 6 = 𝑎𝑏 𝑚 = 𝑎 𝑚 ∗ 𝑏 𝑚 3∗4 6 = 3 6 ∗ 4 6

4. Rational Exponent Properties
𝑎 −𝑚 = 1 𝑎 𝑚 10 −3 = 𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛 𝑤 7 𝑤 2 = 𝑤 7−2 = 𝑤 5 𝑎 𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚 =

5. Simplify
25 − −3 25 −3 5 −

6. Simplify
𝑥 − 𝑥 4 𝑥 2 3 𝑦 − 1 6 −12 𝑦 2 𝑥 8

7. iRAT
Simplify
6 4 ∗ 6 2
( 𝑥 7 ) 1 4
4 −2 ∗ 4 −7

8. Problems
Page 388 #2-48 even