A power raised to another power multiplies the exponents, and everything inside the parentheses gets the outside power, the coefficient included. That coefficient is where most of the marks are lost.
Select your difficulty
Pick more than one for a sheet that mixes them.
The preview can look cramped on a phone. The PDF and printed sheet come out normal.
Leaving the coefficient alone. Everything inside the parentheses is raised to the outside power, so 4a cubed all squared is 16a to the sixth, not 4a to the sixth.
Also called power rule exponents, power to a power or raising a power to a power.
What you can put on this worksheet
A power of a power
(4v3)2→ 16v6
Power of a quotient
(3y2x3)2→ 9y24x6
Questions about these worksheets
Yes. Every power of a power sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the power of a power questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 2: a power of a power and power of a quotient. Tick as many as you want and set how many of each, or let it spread them evenly.
Leaving the coefficient alone. Everything inside the parentheses is raised to the outside power, so 4a cubed all squared is 16a to the sixth, not 4a to the sixth.