1. Rational Exponents and reducing radicals
Unit 3 Day 1

2. Warm Up
Quincy has been confused about simplifying algebraic expressions. His brother Oscar prepared this quiz for him to practice. Look at Quincy’s responses below. If the response is correct, write correct. If it is incorrect, write the correct answer.

3. 4𝑦 – 5𝑦 −𝑦
3𝑥+2𝑥 5 𝑥 2
2 𝑛 2 +4 𝑛 𝑛 4
2𝑥∗3𝑦 5𝑥𝑦
2𝑎−(𝑎−𝑏) 𝑎−𝑏
Correct 5𝑥
6 𝑛 2
6𝑥𝑦
𝑎+𝑏

4. 1+ 5 𝑛
𝑛+5 𝑛
4−(𝑛+7) −3−𝑛
2 𝑥 6 𝑥 𝑥 2
2𝑥𝑦 𝑥 2 𝑦 2
2𝑎+3𝑏+3𝑎+4𝑏 6 𝑎 𝑏 2
Correct
2 𝑥 3
Correct
5𝑎+7𝑏

5. Notes
Using your calculator, complete the following table.

6. Expression
Numerical Value
(4) =?
(64) =?
= 4 =? =?
(8) =? =?
(16) =?
(25) −1 2 =? =?
−1 = =?
( 2 3 ) =?
2 (2) 3 =?

7. What did you notice about your answers to the problems in the same rows?

8. Is there some pattern that relates the two expressions in each row to one another? Describe the pattern.

9. Interactive Notebook
𝑥 = 𝑥

10. Given the expression /4 , what expression using a root symbol would yield the same numerical value?

11. Given the expression , what expression utilizing a fractional exponent would yield the same numerical value?