The Power of a Power RuleA power raised to a power? Multiply the exponents.8th GradeWhen a power is raised to another power, keep thebase and multiply the exponents.(aᵐ)ⁿ = aᵐⁿ(x³)²x⁶x³ × x³ — three plus three.(2³)⁴2¹² = 40963 × 4 = 12.(3x²)³27x⁶The 3 gets cubed too.(x²y³)⁴x⁸y¹²Every factor inside gets the outside power.THE COMMON MISTAKE(3x²)³ = 3x⁶(3x²)³ = 27x⁶The coefficient is inside the bracket, so it is cubed as well.Multiplying powers adds exponents. Raising a power multiplies them.Read the brackets carefully.The Power of a Power Rulelearnposters.com
The Power of a Power Rule — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the The Power of a Power Rule poster

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

Multiplying powers adds exponents. Raising a power multiplies them. Read the brackets carefully.

Questions about the The Power of a Power Rule poster

What’s on the The Power of a Power Rule poster?
The rule, 4 worked examples, and the mistake everyone makes. When a power is raised to another power, keep the base and multiply the exponents.; (aᵐ)ⁿ = aᵐⁿ; (x³)² = x⁶; (2³)⁴ = 2¹² = 4096; (3x²)³ = 27x⁶; (x²y³)⁴ = x⁸y¹²; Common mistake: (3x²)³ = 3x⁶ → (3x²)³ = 27x⁶. Multiplying powers adds exponents. Raising a power multiplies them. Read the brackets carefully.
Who is the The Power of a Power Rule poster for?
The Power of a Power 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 Power of a Power Rule poster?
Check whether the exponents are being multiplied or added. That is the whole decision. A wall chart earns its place by being glanceable from where the work is happening, so The Power of a Power Rule belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with The Power of a Power Rule?
The Product Rule, The Quotient Rule and Scientific Notation sit alongside The Power of a Power 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 Product RuleThe Quotient RuleScientific Notation
Is the The Power of a Power Rule poster free to download and print?
Yes. The Power of a Power 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 Power of a Power Rule poster print at?
The Power of a Power 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 Power of a Power Rule loses nothing.Printing guide

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