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Exponents Properties Review Worksheet
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Exponents Properties Review Worksheet
📚 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.
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