Mathematics 6

1. Which exponential expression represents 4 × 4 × 4 × 4?

   • a) 4⁴ ✓ (correct answer)
   • b) 4³
   • c) 4⁵
   • d) 4²

2. Which repeated multiplication is equivalent to 6³?

   • a) 6 + 6 + 6
   • b) 3 × 3 × 3 × 3 × 3 × 3
   • c) 6 × 6 × 6 ✓ (correct answer)
   • d) 6 × 3

3. In 9², what does the exponent tell you?

   • a) Add 9 to itself two times
   • b) Use 2 as a factor nine times
   • c) Use 9 as a factor two times ✓ (correct answer)
   • d) Multiply 9 by 2 one time

4. What is the value of 7²?

   • a) 14
   • b) 77
   • c) 49 ✓ (correct answer)
   • d) 72

5. Evaluate 3⁴.

   • a) 81 ✓ (correct answer)
   • b) 64
   • c) 27
   • d) 12

6. What is the value of (1/2)³?

   • a) 1/8 ✓ (correct answer)
   • b) 3/8
   • c) 1/6
   • d) 1/5

7. What is the value of 10⁰?

   • a) 1 ✓ (correct answer)
   • b) 100
   • c) 10
   • d) 0

8. A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 5 hours?

   • a) 32 ✓ (correct answer)
   • b) 64
   • c) 16
   • d) 10

9. A square has a side length of 6 cm. Which expression gives its area, and what is that area?

   • a) 6² = 36 cm² ✓ (correct answer)
   • b) 6 × 2 = 12 cm²
   • c) 6³ = 216 cm²
   • d) 6 + 6 = 12 cm²

10. Which expression has a value of 125?

• a) 25²
• b) 5²
• c) 5³ ✓ (correct answer)
• d) 3⁵

Game Board

Points	Bases and Exponents	Expand or Write	Evaluate	Zero Exponents and Powers	Exponents in Context
100	Identify the base in (7^3).	Expand (2^3) as repeated multiplication.	Evaluate (2^4).	Evaluate (5^0).	A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 2 hours?
200	Identify the exponent in (4^5).	Expand (5^4) as repeated multiplication.	Evaluate (3^3).	Evaluate (10^0).	A colony starts with 1 bacterium and triples every hour. How many bacteria are there after 3 hours?
300	How do you read (6^2) in words?	Write (4 \times 4 \times 4 \times 4 \times 4) as an exponential expression.	Evaluate (5^3).	Evaluate (2^5).	A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 6 hours?
400	Write “9 raised to the fourth power” as an exponential expression.	Expand (\left(\frac{1}{3}\right)^3) as repeated multiplication.	Evaluate (8^3).	What exponent makes (2^{\square}=128)?	A colony starts with 2 bacteria and doubles every hour. How many bacteria are there after 4 hours?
500	What exponent makes (3^{\square}) equal to (3 \times 3 \times 3 \times 3 \times 3 \times 3)?	Expand (3^6) as repeated multiplication.	Evaluate (2^5 + 3^3).	A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 24 hours?	A colony starts with 3 bacteria and triples every hour. How many bacteria are there after 4 hours?

Bases and Exponents

1. 100 — Identify the base in (7^3). — Answer: 7
2. 200 — Identify the exponent in (4^5). — Answer: 5
3. 300 — How do you read (6^2) in words? — Answer: Six squared
4. 400 — Write “9 raised to the fourth power” as an exponential expression. — Answer: (9^4)
5. 500 — What exponent makes (3^{\square}) equal to (3 \times 3 \times 3 \times 3 \times 3 \times 3)? — Answer: 6

Expand or Write

1. 100 — Expand (2^3) as repeated multiplication. — Answer: (2 \times 2 \times 2)
2. 200 — Expand (5^4) as repeated multiplication. — Answer: (5 \times 5 \times 5 \times 5)
3. 300 — Write (4 \times 4 \times 4 \times 4 \times 4) as an exponential expression. — Answer: (4^5)
4. 400 — Expand (\left(\frac{1}{3}\right)^3) as repeated multiplication. — Answer: (\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3})
5. 500 — Expand (3^6) as repeated multiplication. — Answer: (3 \times 3 \times 3 \times 3 \times 3 \times 3)

Evaluate

1. 100 — Evaluate (2^4). — Answer: 16
2. 200 — Evaluate (3^3). — Answer: 27
3. 300 — Evaluate (5^3). — Answer: 125
4. 400 — Evaluate (8^3). — Answer: 512
5. 500 — Evaluate (2^5 + 3^3). — Answer: 59

Zero Exponents and Powers

1. 100 — Evaluate (5^0). — Answer: 1
2. 200 — Evaluate (10^0). — Answer: 1
3. 300 — Evaluate (2^5). — Answer: 32
4. 400 — What exponent makes (2^{\square}=128)? — Answer: 7
5. 500 — A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 24 hours? — Answer: 16,777,216 bacteria

Exponents in Context

1. 100 — A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 2 hours? — Answer: 4 bacteria
2. 200 — A colony starts with 1 bacterium and triples every hour. How many bacteria are there after 3 hours? — Answer: 27 bacteria
3. 300 — A colony starts with 1 bacterium and doubles every hour. How many bacteria are there after 6 hours? — Answer: 64 bacteria
4. 400 — A colony starts with 2 bacteria and doubles every hour. How many bacteria are there after 4 hours? — Answer: 32 bacteria
5. 500 — A colony starts with 3 bacteria and triples every hour. How many bacteria are there after 4 hours? — Answer: 243 bacteria

Game Rules

• Divide the class into teams. Teams take turns choosing a category and point value.
• Give each team a short time to discuss and provide one answer.
• Award the points for a correct answer; award no points for an incorrect answer.
• The team with the most points at the end wins.