This page makes free printable exponents worksheets on demand: press the button and you get a new sheet of 20 problems with a matching answer key, ready for US Letter or A4 paper. You will see items like √49 and √16 on the printed page, with 7 and 4 waiting on the answer key so nobody has to redo the arithmetic.
‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.
Because each sheet regenerates, the base and the power vary rather than settling into the familiar small cases.
Knowing the squares up to about fifteen by heart pays for itself repeatedly in later work with area, right-angled triangles and quadratics.
The commonest error is treating the exponent as a multiplier. It survives far longer than teachers expect, because the two operations agree for one particular case and disagree for √16.
This sheet uses bases to 9 and squares to 144, so the answers remain calculable without a calculator.
In US classrooms these exponents worksheets are commonly aligned with the expressions and equations strand for grade 6, though the exact wording varies from state to state.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | √49 = | 7 | Watch for: multiplying the base by the exponent |
| 2 | √16 = | 4 | Check: getting the root of a non-square wrong |
| 3 | 3^4 = | 81 | Look at: losing track of the base in a chain |
| 4 | 2^3 = | 8 | Ask about: confusing the square with double |
| 5 | √25 = | 5 | Watch for: writing the exponent full size |
| 6 | √4 = | 2 | Check: mishandling a power of one |
Work 2^3 out loud as a demonstration. It gives 8. Children who hear 2^3 reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.
Here is one worked through. √16 gives 4. If your child arrives somewhere other than 4 on √16, look at the working rather than the answer: nearly every wrong result comes from a skipped step, not an unknown fact.
Keys are produced by the same code that produces the questions, so a mismatch between question and answer is not possible on these sheets.
The answer key is generated with the worksheet, not written by hand, so it always matches the sheet in front of you — √49 is listed as 7, √16 as 4, and so on down the page.
For a class set, print one sheet, press the new-worksheet button and print again. Each child gets different numbers on the same skill, so nobody can copy the answer to √49 from a neighbour.
If the problems look cramped, drop the count from 20 to a smaller number before printing these exponents worksheets; the font stays the same size and the spacing opens up.
One sheet of exponents worksheets a day for two weeks will tell you more about where a child working at this level actually stands than any single long assessment.
Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13