09 - Exponent Rules Practice PDF

Title	09 - Exponent Rules Practice
Course	Math (Grade 9)
Institution	High School - Canada
Pages	4
File Size	340.1 KB
File Type	PDF
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9 - Exponent Rules & Practice

MPM1D – Polynomials and Equations

Date: __________________________________________

Exponent Rules and Practice 1. Product Rule: To multiply when two bases are the same, write the base and ADD the exponents.      =   Examples:      =  

2 2  = 2

         =    

2. Quotient Rule: To divide when two bases are the same, write the base and SUBTRACT the exponents.  =    Examples:  

= 





     

= 3

=   

3. Zero Exponent Rule: Any base (except 0) raised to the zero power is equal to one.  = 1 Examples:  = 1

15

6 = 1

   

! "

=1

4. Power Rule: To raise a power to another power, write the base and MULTIPLY the exponents.    =   Examples:    =  

4  = 4

     =  $  

5. Expanded Power Rule:  =     Examples: 6   = 36 





% & = 

 ' 

Page 1 of 4

%

    

 

& =  (

9 - Exponent Rules & Practice

MPM1D – Polynomials and Equations

6. Negative Exponents: If a factor in the numerator or denominator is moved across the fraction bar, the sign of the exponent is changed. 

  =  )



 *)



% &

= 



 

= % &

Examples:   =





  



4 = 

% & 

=





Remember: An exponent applies to only the factor it is directly next to unless parentheses enclose other factors. Examples: −3 = 9

−3 = −9

Homework 1. 3 × 4 4.





2. 4  × 2  5.



3.     6.





.

7. 8

8.  

9. −9  

10.   

11.     

12. 2"0   4"  0  

13.

  

  

14. %

  

&  *  



12



Answers 1. 192

2. 8 

3.  

4. 3

5. 

6.  

7. 1

8. 1

10. 





13.  

9. −1  

11.  

12. 16"  0 

14.   

15. 1  2

Page 2 of 4

12

15. %1 2 & %1 2 &





9 - Exponent Rules & Practice

MPM1D – Polynomials and Equations

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9 - Exponent Rules & Practice

MPM1D – Polynomials and Equations

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