Power to a Power Exponents Worksheet
Reinforce understanding of the power to a power rule for exponents with this Grade 9 math worksheet.
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Power to a Power Exponents
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Simplify each expression using the 'power to a power' rule for exponents. Show your work where indicated.
1. (x²)³ =
2. (y⁵)⁴ =
3. (a³)⁷ =
4. (b⁶)² =
5. (m⁹)³ =
6. In your own words, explain the 'power to a power' rule for exponents.
7. Which expression is equivalent to (x⁴)⁵?
x⁹
x²⁰
5x⁴
4x⁵
8. The expression (2³)³ is equivalent to 2⁶.
True
False
9. Simplify ( (x²)⁴ )³ =
10. Simplify (3a⁵)² =
11. Simplify (-2x³)⁴ =
12. If (x^a)^b = x¹², and a and b are positive integers, list two possible pairs of values for 'a' and 'b'.
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