The Power of a Power RuleA power raised to a power? Multiply the exponents.8th GradeWhen a power is raised to another power, keepthe base and multiply the exponents.(aᵐ)ⁿ = aᵐⁿ(x³)²x⁶x³ × x³ — three plus three.(2³)⁴2¹² = 40963 × 4 = 12.(3x²)³27x⁶The 3 gets cubed too.(x²y³)⁴x⁸y¹²Every factor inside gets the outside power.THE COMMON MISTAKE✗ (3x²)³ = 3x⁶✓ (3x²)³ = 27x⁶The coefficient is inside the bracket, so it is cubed as well.Multiplying powers adds exponents. Raising a power multiplies them.Read the brackets carefully.The Power of a Power Rulewww.littleactivity.com

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Math · 8th Grade

The Power of a Power Rule

A power raised to a power? Multiply the exponents.

How to use it

Check whether the exponents are being multiplied or added. That is the whole decision.

Free · print-ready PDF · US Letter and A4

Grade
8th Grade
Ages
13–14
Subject
Math
Pages
1

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