5.1 properties of exponents
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This document provides notes on properties of exponents for an Algebra II class. It defines the product of powers, power of a power, power of a product, and zero exponent properties. Examples are given to demonstrate simplifying exponential expressions by applying these properties and rules such as eliminating negative exponents and ordering variables alphabetically. Students are assigned practice problems applying these concepts.
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5.1 properties of exponents
- 1. ADD “scientific notation” to notes
- 2. Write out on board and explain differences……explain what powers mean (how many of ___ you have)
- 3. Algebra II: Section 5.1 Properties of Exponents
- 4. Properties of Exponents Product of Powers – (when multiplying like bases, add exponents) Power of a Power – (when taking an exponent to a power, multiply the exponents) Power of a Product – (distribute) Negative Exponent – (flip to opposite side)
- 5. Properties of Exponents Zero Exponent – (anything taken to the zero power is 1) Quotient of Powers – (when dividing like bases, subtract exponents) Power of a Quotient – (distribute)
- 6. Rules for Simplifying Exponential Expressions NO negative exponents Simplify all numbers taken to a power Variables go in alphabetic order Only one occurrence of each variable in a single term
- 7. Examples:
- 8. Examples:
- 9. Examples:
- 10. MORE Examples:
- 12. Homework 5.1 Practice B: 1-8 all 18-29 all