📚 Part 1: Multiple Choice

1. What is the simplified form of x⁵ · x³?

x⁸

x¹⁵

x²

2x⁸

2. Which expression equals (3²)⁴?

3⁶

3⁸

12²

9⁴

3. What is the value of 2⁻³?

-8

1/8

-6

1/6

4. Which of the following are equivalent to 10⁰? (Check all that apply)

1

0

5⁰

(-7)⁰

✏️ Part 2: Fill in the Blanks

5. Complete the exponent properties:

a) x^m · x^n = x^_______

b) (x^m)^n = x^_______

c) x^m ÷ x^n = x^_______

d) x⁰ = _______ (where x ≠ 0)

6. Simplify the following expressions:

a) 4³ · 4² = _____________

b) (2⁵)² = _____________

c) 7⁶ ÷ 7² = _____________

d) 5⁻² = _____________

🔢 Part 3: Problem Solving

7. Evaluate: (2³)² · 2⁻⁴

8. A bacteria culture doubles every hour. If there are initially 3² bacteria, write an expression using exponents to show the number of bacteria after 4 hours. Then evaluate your expression.

9. Explain why x⁻ⁿ = 1/x^n. Use an example in your explanation.

10. Marcus claims that 3² · 3³ = 9⁵. Is he correct? Explain your reasoning and show the correct answer.

Exponents Properties Review Worksheet

Exponents Properties Review Worksheet

📚 Part 1: Multiple Choice

✏️ Part 2: Fill in the Blanks

🔢 Part 3: Problem Solving

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