Properties of Exponents Reference Sheet

Start with the three single rule sheets and keep the reference sheet nearby. Use the matching and true or false sheets to surface mistakes, then finish with a puzzle for review.

Review the product, quotient and power of a power rules with worked examples such as 3² · 3⁴ = 729.

Yes. We made it for 8th Grade exponents, and it works the same at home or at school. At home a student can print it and keep it with their school work. Teachers print a copy per student or one for the whole room, whichever the day needs.

To multiply powers with the same base, keep the base and add the exponents. So 3⁴ × 3² = 3⁶. Product of Powers With Integer Bases also includes negative bases such as (−2)³ × (−2)⁴.

To raise a power to another power, keep the base and multiply the exponents, so (5²)³ = 5⁶. A common mistake is adding the exponents instead, which True or False, Exponent Property Statements asks students to catch.

Work the rule backward. In 5³ × 5 to the ? = 5⁹, the exponents must add to 9, so the missing exponent is 6. Two sheets practice this with numeric bases and with variable bases such as x and y.

Yes. The Properties of Exponents Reference Sheet lists each rule with its form, a plain explanation and a worked example. It is a handout, so it has no answer key.