Introduction to Powers and Exponents

Name: _________________________
Date: _________________________

Remember: In the expression 5³, the base is 5 and the exponent is 3. This means 5 × 5 × 5.

Part A: Identify the Base and Exponent

For each expression, write the base and the exponent.

1. 7²
Base: ________
Exponent: ________
2. 10⁴
Base: ________
Exponent: ________
3. 3⁵
Base: ________
Exponent: ________
4. 2⁶
Base: ________
Exponent: ________
5. 9³
Base: ________
Exponent: ________

Part B: Write in Exponential Form

Write each multiplication in exponential form (e.g., 4 × 4 × 4 = 4³).

6. 6 × 6 = __________
7. 5 × 5 × 5 × 5 = __________
8. 2 × 2 × 2 = __________
9. 10 × 10 × 10 × 10 × 10 = __________
10. 8 × 8 × 8 = __________

Part C: Calculate the Value

Work out the value of each expression.

11. 2³ = __________
12. 5² = __________
13. 10³ = __________
14. 4² = __________
15. 3⁴ = __________

Part D: Challenge Questions

16. Which is greater: 2⁵ or 5²? __________
17. Write 81 as a power with base 3: __________
18. If 7ⁿ = 49, what is the value of n? __________