📐 Part 1: Concepts & Multiple Choice

Directions: Choose the best answer for each question. Circle your response.

1. What does the expression 5³ mean?

5 × 3

5 + 5 + 5

5 × 5 × 5

3 × 3 × 3 × 3 × 3

2. Which of the following is equal to √144?

11

12

14

72

3. Simplify: 2⁴ × 2²

2⁶

2⁸

4⁶

4⁸

4. What is the value of 3⁰?

0

3

1

Undefined

5. Which of the following are perfect squares? (Select ALL that apply.)

16

20

49

81

90

🧮 Part 2: Calculations & Show Your Work

Directions: Solve each problem. Show all work in the space provided.

6. Evaluate: 7² − √36 + 2³

Answer: __________

7. Simplify: (3²)³

Answer: __________

8. Estimate √50 to the nearest tenth. (Hint: Which two perfect squares is 50 between?)

Answer: __________

9. TEAS Application: A hospital storage room has a square floor with an area of 225 square feet. What is the length of one side of the room?

Answer: __________ feet

✏️ Part 3: Conceptual Understanding

Directions: Answer the following questions in complete sentences.

10. Explain the difference between a square root and a cube root. Give one example of each.

11. A student claims that (−4)² = −16. Is the student correct? Explain your reasoning.

12. Bonus / TEAS Challenge: Simplify the expression below and explain each step:
√81 + 4² ÷ 2³ − 3⁰

Exponents and Roots Practice

Exponents and Roots Practice

📐 Part 1: Concepts & Multiple Choice

🧮 Part 2: Calculations & Show Your Work

✏️ Part 3: Conceptual Understanding

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