📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- An exponent tells how many times a base is used as a factor.
- Expanded form shows repeated multiplication.
- Exponential form is a shorter way to write repeated multiplication.
- Any nonzero number raised to the zero power equals 1.
- Powers of 10 follow simple patterns that help students evaluate expressions quickly.
- Fractions can also be raised to a power by multiplying the fraction by itself repeatedly.
✏️ Worked Examples – Understanding, Writing, and Evaluating Powers
🧠 Math Vocabulary
- Base: The number that is multiplied repeatedly.
- Exponent: The small raised number that tells how many times the base is used as a factor.
- Power: An expression with a base and an exponent, such as \(3^4\).
- Expanded Form: Writing a power as repeated multiplication.
- Exponential Form: Writing repeated multiplication using a base and exponent.
- Zero Exponent: A rule stating that any nonzero number raised to the zero power equals 1.
💡 Main Idea
This lesson introduces exponents at a foundational level. Students learn how to read powers, write expressions in expanded and exponential form, evaluate powers of whole numbers, decimals, and fractions, and recognize simple exponent patterns such as powers of 10 and zero exponents. The goal is to build comfort with exponents before moving into more advanced exponent rules.
📚 What You Should Already Know
Students should already understand multiplication, fractions, and order of operations. It also helps to know that repeated multiplication can be written in a shorter form using exponents.
🚀 What Comes Next
After this introduction, students can move on to exponent rules, negative exponents, scientific notation, and simplifying exponential expressions. These foundational ideas also support later work in algebra and functions.
🧩 Embed This Video in Your LMS
Teachers can embed this YouTube video directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.