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Exponents and Operations Practice

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Exponents and Operations Practice worksheet preview

Exponents and Operations Practice

Mathematical exponents illustration

📚 Part 1: Understanding Exponents

1. Which expression shows 5 × 5 × 5 × 5 in exponent form?

5 × 4

5⁴

4⁵

5 + 4

2. What is the value of 3³?

9

12

27

33

3. Which of these are square numbers? (Select all that apply)

16

24

36

50

64

4. Write these repeated multiplications using exponent notation:

a) 2 × 2 × 2 × 2 × 2 = ________

b) 7 × 7 × 7 = ________

c) 10 × 10 × 10 × 10 = ________

🔢 Part 2: Order of Operations with Exponents (GEMA)

5. Calculate: 2 + 3² × 4

Answer: ________

6. Calculate: (5³ - 10) ÷ 3

Answer: ________

7. Find the error in this calculation and explain what went wrong:

Problem: 4 × 2³ + 1 = 4 × 8 + 1 = 4 × 9 = 36

Correct answer: ________

🌍 Part 3: Real-World Applications

8. 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.

Expression: ________________

Number of bacteria: ________

9. Write these numbers in scientific notation:

a) 5,000 = ________

b) 800,000 = ________

10. A cube has sides of 4 centimetres. Write an expression using exponents to calculate its volume, then find the answer.

Expression: ________________

Volume: ________ cm³

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