Exponent & Radical RulesEvery exponent law with an example, plus roots and scientific notation.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 Ruleslearnposters.com
Exponent & Radical Rules — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Questions about the Exponent & Radical Rules poster

Who is the Exponent & Radical Rules poster for?
Exponent & Radical Rules 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 Exponent & Radical Rules poster?
The summary sheet for the six exponent posters in this set. A wall chart earns its place by being glanceable from where the work is happening, so Exponent & Radical Rules belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Exponent & Radical Rules?
Angles and Parallel Lines, Distance and Midpoint and Three Forms of a Line sit alongside Exponent & Radical Rules 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.Angles and Parallel LinesDistance and MidpointThree Forms of a Line
Is the Exponent & Radical Rules poster free to download and print?
Yes. Exponent & Radical Rules 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 Exponent & Radical Rules poster print at?
Exponent & Radical Rules 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 Exponent & Radical Rules loses nothing.Printing guide

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