Power of a Power
Name: _______________________________
Date: _______________________________
Remember the rule: (am)n = am×n
When raising a power to another power, multiply the exponents.
Section A: Simplify each expression
1. (x²)³ = _______________________
2. (y⁴)² = _______________________
3. (a³)⁵ = _______________________
4. (m⁶)² = _______________________
5. (p⁵)⁴ = _______________________
6. (b²)⁷ = _______________________
7. (c⁸)³ = _______________________
8. (t⁴)⁵ = _______________________
Section B: Simplify (include the coefficient)
9. (2x³)² = _______________________
10. (3y²)³ = _______________________
11. (4a²)² = _______________________
12. (5m⁴)² = _______________________
13. (2p³)⁴ = _______________________
14. (3t⁵)² = _______________________
Section C: Challenge questions
15. (x²)³ × x⁴ = _______________________
16. (y³)² ÷ y⁴ = _______________________
17. (2a³)² × a = _______________________
18. (3b²)³ ÷ b⁵ = _______________________
Section D: Show your working
19. Simplify: ((x²)³)²
Working: _________________________________________________________
_________________________________________________________
Answer: _________________________
20. Simplify: (2x²y³)⁴
Working: _________________________________________________________
_________________________________________________________
Answer: _________________________