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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