1. 7.1 nth roots and rational Exponents

2. Nth root rules
Given 𝑛 𝑎 where n is the root and a is positive or negative number .( 𝑛 𝑎 = 𝑎 1 𝑛 )
If n is an odd root , the expression has one answer.
If n is an even root, the expression can have two or zero real roots. ( no imaginary for now)

3. Examples of nth roots Simplify 1. Find the 3rd root of -64
2. Find the 2nd root of -100
3. Find the 5rd root of 32
4. Find the 4rd root of 81

4. Write in exponent notation or radical notation.
5. 6 𝑥 =______
6. 𝑚 78 =______
7. 𝑛 = ____
𝑦 = ____

5. Evaluate with no calculator.
= ____
= ____
= ____
= ____

6. Evaluate with calculator.
= ____
= ____
= ____
= ____

7. Solving Equations 17. 𝑥 3 −35=−100 18. 𝑥 4 −6=−22 19. 76−𝑥 7 =−31
17. 𝑥 3 −35=−100
18. 𝑥 4 −6=−22
−𝑥 7 =−31
20. 𝑥 6 −33=213

8. H.W. pg #
#13-61 all