Laws of exponents
JamWise Education Team·Updated March 2026
Definition
Rules for working with exponents: when multiplying same bases, add exponents (aᵐ × aⁿ = aᵐ⁺ⁿ); when dividing, subtract exponents; when raising a power to a power, multiply exponents.
Learning context
In 8th grade math, students encounter "laws of exponents" as part of building numerical and spatial reasoning skills. At the middle school level, learners develop the ability to connect abstract mathematical concepts to concrete, everyday situations. Understanding this term helps students communicate their mathematical thinking with precision and builds a foundation for more advanced problem-solving in later grades.
Topic connection: expressions
This term belongs to the "expressions" topic within math. The expressions strand introduces students to a cluster of related concepts that build on each other across grade levels. Exploring vocabulary within this topic helps students see connections between ideas and develop deeper, more flexible understanding of the subject matter as a whole.
Why music helps students learn vocabulary
Research consistently shows that pairing vocabulary instruction with music improves both recall and long-term retention. When students hear a term like "laws of exponents" embedded in a memorable melody, their brains form stronger associative connections between the word, its meaning, and the emotional context of the song.
JamWise leverages this science by generating curriculum-aligned songs for every K-8 topic. Rather than drilling definitions from a word list, students encounter terms naturally within lyrics, absorbing meaning through context and repetition. Teachers report that students who learn vocabulary through JamWise jams retain terms significantly longer than those using traditional flashcard methods.
Related vocabulary
Elimination
A method for solving a system of equations by adding or subtracting the equations to eliminate one variable.
Linear equation
An equation whose graph is a straight line. It can be written in the form y = mx + b, where m and b are constants.
Negative exponent
An exponent that means you take the reciprocal. For example, 2⁻³ = 1/2³ = 1/8. Moving from the numerator to the denominator changes the sign.
Point-slope form
A way to write a linear equation when you know the slope and one point. Written as y - y₁ = m(x - x₁).
Power
An expression written as a base raised to an exponent, like 2⁵. The base is 2 and the exponent is 5, meaning 2 × 2 × 2 × 2 × 2.
Scientific notation
A way to write very large or very small numbers as a number between 1 and 10 multiplied by a power of 10. For example, 93,000,000 = 9.3 × 10⁷.
Slope
A number that measures how steep a line is. Slope equals the rise (vertical change) divided by the run (horizontal change) between any two points on the line.
Slope-intercept form
The form y = mx + b for a linear equation, where m is the slope and b is the y-intercept.
Frequently asked questions
Explore more
expressions vocabulary
All terms in the expressions topic
Learn moreMath -- 8th Grade
All math terms for 8th grade
Learn moreFull glossary
Browse all 1,700+ vocabulary terms
Learn moreLearning games
20+ interactive games that reinforce vocabulary
Learn moreFor teachers
How JamWise works in the classroom
Learn more