Exponent & Radical RulesEvery exponent law with a worked example, plus roots and…8th GradeEXPONENT LAWSProductaᵐ × aⁿ = aᵐ⁺ⁿx³ · x⁴ = x⁷Quotientaᵐ ÷ aⁿ = aᵐ⁻ⁿx⁷ / x³ = x⁴Power of a power(aᵐ)ⁿ = aᵐⁿ(x³)² = x⁶Power of a product(ab)ⁿ = aⁿbⁿ(2x)³ = 8x³Zeroa⁰ = 1any base but 0Negativea⁻ⁿ = 1 / aⁿ2⁻³ = 1/8Fractionala^(1/n) = ⁿ√a9^(1/2) = 3SCIENTIFIC NOTATIONa × 10ⁿ, where 1 ≤ a < 104 800 000 = 4.8 × 10⁶  ·  0.00032 = 3.2 × 10⁻⁴Big number → positive power. Small number → negative power. Count the decimal moves.ROOTSPerfect squares: 1 4 9 16 25 36 49 64 81 100 121 144Perfect cubes: 1 8 27 64 125 216√50 = √(25 × 2) = 5√2 — pull out the largest perfect square.Exponent & Radical Ruleswww.littleactivity.com

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Math · 8th Grade

Exponent & Radical Rules

Every exponent law with a worked example, plus roots and scientific notation.

How to use it

The summary sheet for the six exponent posters in this set.

Free · print-ready PDF · US Letter and A4

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

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