Algebra I 300 Name:

Introduction to Exponents Date:

This chapter will help us to better understand polynomials. Let’s start with a consistent

understanding of exponents.

Key Vocabulary for Exponents

Exponent: Base:

Exponential Form: nth power of b:

Monomial: Polynomial:

Binomials: Trinomials:

Constant: Coefficient:

Similar terms: Simplest form:

Degree of a variable in a monomial:

Degree of a monomial: Degree of a polynomial:

Algebra I 300 Name:

Introduction to Exponents Date:

Writing Expressions as Exponents

a. 66666 b. xyxyx 52

c. 𝑥 ∙ 𝑥 ∙ 𝑥 ∙ (−2) ∙ 3 ∙ 𝑥 ∙ 𝑦 d. 𝑥 ∙ 𝑥 ∙ 𝑦 ∙ 𝑥 ∙ (−3) ∙ 5 ∙ (−2) ∙ 𝑥

Find the area of the rectangle

3 5x

Parentheses and Negative Numbers

When dealing with exponents you have to be very careful about using parentheses and

negative numbers

Example:

a. (2y)3 b. -34 c. (-3)4

d. (1 - 4)2 e. 1 – 42

We can also use PEMDAS to simplify some expressions involving exponents:

Evaluate if a = 3 and b = -2

a. ab – a2 b. a(b – a)2 c. (2a – b)3

2x 3x

Algebra I 300 Name:

Introduction to Exponents Date:

Homework:

State each expression in exponential form

1. 2 ∙ 3 ∙ 𝑥 ∙ 2 ∙ 𝑥 2. 2 ∙ 2 ∙ 2 ∙ 𝑥 ∙ 𝑥 ∙ 𝑥 ∙ 𝑥

3. −2 ∙ 2 ∙ 𝑥 ∙ 𝑥 ∙ −1 ∙ 𝑥 4. 𝑥 ∙ 𝑥 ∙ 𝑥 ∙ (−3) ∙ 𝑥 ∙ 𝑥 ∙ 2

Evaluate if a = 3 and x = -2

5. 𝑎𝑥2 6. (𝑎 + 𝑥)2

7. (𝑎𝑥)2 8. (𝑥 − 𝑎)3

9. 𝑥4 − 𝑎 10. (𝑥 − 𝑎)4

Find the area of each rectangle

11. 3y 12. 5x

2 3x

13. 4z 14. 7x

2z 7x

Algebra I 300 Name:

Introduction to Exponents Date:

Simplify

15. [53 + (−3)2] ÷ 22 + 2 (ANSWER IS 35.5)

16. [22 ∙ 33 − 3 ∙ (4 − 2)4] ÷ [(2 ∙ 3)2 − 24] (ANSWER IS 3)

17. [32 ∙ 3 − 22 ÷ (2 − 3) + 4] + (3 − 5)3 (ANSWER IS 27)