9.1: Exponent Rules
This activity is intended to supplement Algebra I, Chapter 8, Lesson 2.
In this activity, you will explore:
- expressions involving products and quotients with exponents
- expressions with negative and zero exponents
Before beginning the activity, clear out all functions from the
Problem 1 - Discovering Exponent Rules
Run the ExpRules program by pressing PRGM then choosing it from the menu and pressing ENTER.
This program allows you to explore 6 different rules of exponents by helping you evaluate exponential expressions for different values of
The program displays the expression that you will be calculating to explore Rule 1,
Repeat this process to explore rules
- Rule 1: Make a rule for the product of two powers with like bases.
- Rule 2: Make a rule for the quotient of two powers with like bases.
- Rule 3: Make a rule for the power of a power.
- Rule 4: Make a rule for a power with a negative exponent.
- Rule 5: Make a rule for a power with a zero exponent.
- Rule 6: Make a rule for the power of a quotient.
Extension
Use your calculator to evaluate each of the expressions shown.
Then make a conjecture for
Complete:
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