Zero and Negative ExponentsWhy anything to the power zero is one, and where a negative one lives.8th GradeAny non-zero base to the power zero is 1. A negativeexponent means the reciprocal — move it to theother side of the fraction line.a⁰ = 1 · a⁻ⁿ = 1/aⁿ5⁰1Follows from x³ ÷ x³ = x⁰ and also = 1.2⁻³1/8Move it to the denominator, then evaluate.1/x⁻²It moves the other way too.(2/3)⁻¹3/2A negative exponent flips a fraction.THE COMMON MISTAKE2⁻³ = −82⁻³ = 1/8The minus is about position, not sign. The answer is positive and small.0⁰ is undefined. Every other base to the power zero is exactly 1.Zero and Negative Exponentslearnposters.com
Zero and Negative Exponents — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Zero and Negative Exponents poster

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

0⁰ is undefined. Every other base to the power zero is exactly 1.

Questions about the Zero and Negative Exponents poster

What’s on the Zero and Negative Exponents poster?
The rule, 4 worked examples, and the mistake everyone makes. Any non-zero base to the power zero is 1. A negative exponent means the reciprocal —…; a⁰ = 1 · a⁻ⁿ = 1/aⁿ; 5⁰ = 1; 2⁻³ = 1/8; 1/x⁻² = x²; (2/3)⁻¹ = 3/2; Common mistake: 2⁻³ = −8 → 2⁻³ = 1/8. 0⁰ is undefined. Every other base to the power zero is exactly 1.
Who is the Zero and Negative Exponents poster for?
Zero and Negative Exponents 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 Zero and Negative Exponents poster?
A negative exponent is a location, not a sign. It never makes the answer negative. A wall chart earns its place by being glanceable from where the work is happening, so Zero and Negative Exponents belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Zero and Negative Exponents?
The Power of a Power Rule, The Product Rule and The Quotient Rule sit alongside Zero and Negative Exponents 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 RuleThe Quotient Rule
Is the Zero and Negative Exponents poster free to download and print?
Yes. Zero and Negative Exponents 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 Zero and Negative Exponents poster print at?
Zero and Negative Exponents 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 Zero and Negative Exponents loses nothing.Printing guide

Related posters

Charts that sit alongside Zero and Negative Exponents on the same wall.

Browse every 8th Grade poster, or start from the full catalogue.