Introduction to Powers and Exponents
Name: _______________________________
Date: _______________________________
Remember: In 2³, the base is 2 and the exponent is 3. This means 2 × 2 × 2 = 8
Part A: Identify the Base and Exponent
Write the base and exponent for each expression.
| Expression | Base | Exponent |
|---|---|---|
| 1. 3⁴ | __________ | __________ |
| 2. 5² | __________ | __________ |
| 3. 10³ | __________ | __________ |
| 4. 7⁵ | __________ | __________ |
| 5. 2⁶ | __________ | __________ |
Part B: Write in Exponential Form
Write each multiplication as a power.
1. 4 × 4 × 4 = __________
2. 6 × 6 = __________
3. 2 × 2 × 2 × 2 = __________
4. 9 × 9 × 9 = __________
5. 10 × 10 × 10 × 10 × 10 = __________
6. 5 × 5 × 5 × 5 = __________
Part C: Expand and Calculate
Write each power as a multiplication, then calculate the answer.
1. 2³ = __________ × __________ × __________ = __________
2. 3² = __________ × __________ = __________
3. 5³ = __________ × __________ × __________ = __________
4. 4² = __________ × __________ = __________
5. 2⁴ = __________ × __________ × __________ × __________ = __________
Part D: Challenge Questions
1. What is the value of 10²? __________
2. Which is greater: 2⁵ or 5²? __________
3. Write 64 as a power of 2: __________