Students learn the properties of exponents — add when multiplying, subtract when dividing, multiply for a power of a power — the shortcuts that make working with powers fast and are essential for all of algebra.
Students will be able to…
Why does x² · x³ equal x⁵ and not x⁶? Once you see WHY the exponent rules work, you’ll never have to memorize them.
Project this and tap each exponent rule. Have students see why it works and practice an example.
Tap any phase to open the teacher moves and student actions.
x² · x³ — why does it equal x⁵, not x⁶?
Teacher models.
Class uses the Rules Explorer.
Students simplify.
One expression.
Aligned to the Common Core State Standards for Mathematics (High School: Algebra I).
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Explain how the definition of exponents follows from the properties.
Choose and produce equivalent forms of an expression.
Know and apply the properties of integer exponents.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students connect fractional exponents to roots (x^(1/2) = √x) and simplify expressions. A printable exponent-rules sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.