The Quotient RuleSame base, dividing? Subtract the exponents.8th GradeWhen dividing powers with the same base, keep thebase and subtract the bottom exponent from the topone.aᵐ ÷ aⁿ = aᵐ⁻ⁿx⁷ ÷ x³x⁴Seven x's on top, three cancel.2⁶ ÷ 2²2⁴ = 166 − 2 = 4.x³ ÷ x⁵x⁻² = 1/x²A negative exponent means it belongs on the bottom.12x⁵ ÷ 3x²4x³Divide the coefficients, subtract the exponents.THE COMMON MISTAKEx⁷ ÷ x³ = x⁷/³x⁷ ÷ x³ = x⁴Subtract the exponents. Dividing them is not a rule at all.Top minus bottom. Getting the order backwards flips the sign of theanswer's exponent.The Quotient Rulelearnposters.com
The Quotient Rule — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the The Quotient Rule poster

The rule, 4 worked examples, and the mistake everyone makes.

Top minus bottom. Getting the order backwards flips the sign of the answer's exponent.

Questions about the The Quotient Rule poster

What’s on the The Quotient Rule poster?
The rule, 4 worked examples, and the mistake everyone makes. When dividing powers with the same base, keep the base and subtract the bottom expone…; aᵐ ÷ aⁿ = aᵐ⁻ⁿ; x⁷ ÷ x³ = x⁴; 2⁶ ÷ 2² = 2⁴ = 16; x³ ÷ x⁵ = x⁻² = 1/x²; 12x⁵ ÷ 3x² = 4x³; Common mistake: x⁷ ÷ x³ = x⁷/³ → x⁷ ÷ x³ = x⁴. Top minus bottom. Getting the order backwards flips the sign of the answer's exponent.
Who is the The Quotient Rule poster for?
The Quotient Rule is filed under 8th Grade (ages 13–14), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the The Quotient Rule poster?
Top minus bottom, always in that order. A wall chart earns its place by being glanceable from where the work is happening, so The Quotient Rule belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with The Quotient Rule?
The Power of a Power Rule, The Product Rule and Scientific Notation sit alongside The Quotient Rule in the 8th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Power of a Power RuleThe Product RuleScientific Notation
Is the The Quotient Rule poster free to download and print?
Yes. The Quotient Rule downloads as a free PDF with no account, no email and no watermark, like everything else in the 8th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the The Quotient Rule poster print at?
The Quotient Rule is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of The Quotient Rule loses nothing.Printing guide

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