1. Lesson 2
Introductory Algebra
Powers and Exponents

2. Warm-Up
20 ÷ – 3
3 × 3 × 3
1 × 1 × 1 × 1 × 1

3. Target: Write and compute expressions with powers.
Powers and Exponents
Target:
Write and compute expressions with powers.

4. Vocabulary
Power: Used when a numerical expression is the product of a repeated factor. It consists of two parts: the base and the exponent.
Base: The repeated factor.
Exponent: Number of times the factor is repeated.
Squared: The second power.
Cubed: The third power.

5. Powers, Bases and Exponents
Expanded Form

7. Example 1 Write the numerical expression as a power. 6 × 6 × 6 × 6 64
4 × 4 42
9 × 9 × 9 × 9 × 9 × 9 × 9 97

8. Example 2 Write each power in expanded form and find the value. 32
3 × 3 = 9 15
1 × 1 × 1 × 1 × 1 = 1 43
4 × 4 × 4 = 64

9. Exit Problems Write 5 × 5 × 5 × 5 as a power.
Write 43 in expanded form and find its value.
Determine which power has the greater value:
16 or 22.

10. Communication Prompt
What is the process you would follow to find the value of 34 without using a calculator?