📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- When multiplying powers with the same base, add the exponents.
- Negative exponents mean the factor belongs in the denominator.
- Simplify each variable separately before writing the final answer.
- Write the final expression using only positive exponents.
💡 Main Idea
In this lesson, students simplify an exponential expression by combining like bases and applying the laws of exponents. After adding the exponents for each base, the expression includes a negative exponent, which is then rewritten as a reciprocal. The final answer is written with positive exponents only: \( \frac{a^2}{b^3} \).
✏️ Worked Examples – Multiplying Powers and Rewriting Negative Exponents
📚 What You Should Already Know
Students should understand basic exponent notation, integer operations, and how to multiply powers with the same base. It also helps to know that negative exponents represent reciprocals.
🚀 What Comes Next
This skill connects directly to dividing powers, powers of powers, and scientific notation. Students will also use these exponent rules when simplifying more advanced algebraic expressions.
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