Notes 4.1 Simplifying Exponential Expressions.notebook
November 03, 2014
Notes 4.1: Simplifying Exponential Expressions
Remember these properties???
Property
Product of Powers
Power of a Power
Power of a Product
Negative Exponent
Zero Exponent
Quotient of Powers
Power of a Quotient
How it Works
Example
Notes 4.1 Simplifying Exponential Expressions.notebook
November 03, 2014
Let's try some!
Simplify completely so there are no negative exponents.
1. 4. 2. 5. 15x0
3. 6. Notes 4.1 Simplifying Exponential Expressions.notebook
November 03, 2014
Now let's make it more difficult!!!
7. (2x2y4)(­3xy6) 10. 8. 11. (2x)­3 9. 12. Notes 4.1 Simplifying Exponential Expressions.notebook
If you thought that was hard, how about these???
13. (­x2y4)(2x5y)3 14. (­x2y4)4(2x5y)3(x7y6)­2 November 03, 2014
Notes 4.1 Simplifying Exponential Expressions.notebook
November 03, 2014
Use the properties of exponents to evaluate the expression.
(simplify, then use your calculator!)
15. (22)(2­5)
17. 16. (58)(5­8)
18. Notes 4.1 Simplifying Exponential Expressions.notebook
November 03, 2014
Daily Writing Activity!!!
Expressions can often be expressed using multiple forms. Provide 3 equivalent forms of x10. How do you know they are equivalent forms?
Sample Answer: (x2)5 is equal to x10 because of the power of a power property. (x5)(x5) is equivalent because of the product of a power property. (x)(x3)(x6) is equal to x10 because of the product of a power property.