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Exponents and Repeated Multiplication
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Exponents and Repeated Multiplication
📚 Part 1: Understanding Exponents
1. What does 5³ mean?
5 + 3
5 × 3
5 × 5 × 5
3 × 3 × 3 × 3 × 3
2. In the expression 7⁴, what is the base?
4
7
28
2401
3. Which expressions are equal to 2⁵? (Check all that apply)
2 × 2 × 2 × 2 × 2
32
2 × 5
10
4. What is 3⁴?
12
64
81
34
✏️ Part 2: Converting and Calculating
5. Write 6 × 6 × 6 × 6 × 6 × 6 using exponent notation:
Answer: _______________
6. Calculate the following:
a) 4² = ___________
b) 2⁶ = ___________
c) 5³ = ___________
d) 10⁴ = __________
7. Write each repeated multiplication using exponent notation:
a) 9 × 9 × 9 = ___________
b) 8 × 8 × 8 × 8 × 8 = ___________
c) 12 × 12 = ___________
8. Show your working to calculate 3⁵:
🎯 Part 3: Problem Solving
9. A bacteria culture doubles every hour. If you start with 2 bacteria, write an expression using exponents to show how many bacteria there will be after 4 hours.
10. Extension Challenge: If 2ˣ = 64, what is the value of x? Explain your reasoning.
11. Explain in your own words what an exponent tells you about the base number:
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