The Product RuleSame base, multiplying? Add the exponents.8th GradeWhen multiplying powers with the same base,keep the base and add the exponents.aᵐ × aⁿ = aᵐ⁺ⁿx³ × x⁴x⁷(xxx)(xxxx) — seven x's.2⁵ × 2³2⁸ = 256The base stays 2. Only the exponents add.3x² × 4x⁵12x⁷Multiply the coefficients, add the exponents.x × x⁶x⁷A lone x is x¹.THE COMMON MISTAKE✗ x³ × x⁴ = x¹²✓ x³ × x⁴ = x⁷Multiplying the exponents is the power rule, which is a different situation.This only works when the bases match. x³ × y⁴ cannot be simplifiedat all.The Product Rulewww.littleactivity.com

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Math · 8th Grade

The Product Rule

Same base, multiplying? Add the exponents.

How to use it

Write it out longhand once. The rule stops feeling arbitrary immediately.

Free · print-ready PDF · US Letter and A4

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

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