Exponent Rules & Practice PDF

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For math if you need help with your exponents and with your X and Ys dog yep yep I'm just gonna make this a bit longer like my di-...

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EXPONENT RULES & PRACTICE 1. PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents.       Examples: A.        

C.           

B.     

2. QUOTIENT RULE: To divide when two bases are the same, write the base and SUBTRACT the exponents.  

Examples: A.

 

 

B.

 

 

 

C.

   

  

3. ZERO EXPONENT RULE: Any base (except 0) raised to the zero power is equal to one.    Examples:  !   

C. 

B.   

A.   



4. POWER RULE: To raise a power to another power, write the base and MULTIPLY the exponents.     Examples: A.       

B.     

C. "     "

5. EXPANDED POWER RULE:

  #

$ %

#   #

 #



Examples: A.     



&



 

C. $  % 

B.           

  % 

D. $

' ( )



)



 

* )



    



  + ,

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:

 

  

F.

 

 



%$#  

$ %

 

C. /.    

  % )

G. /    $ For example: / 5

 

E.   /    /  



 $ %  ,

/ 5

  #

 

B. .    

0 -1 1 2)3   -) -4 2 3 0

CAUTION:

 -





A.     D. $  %



 

$

 

)  * %    )

REMEMBER: An exponent applies to only the factor it is directly next to unless parentheses enclose other factors. Examples: A. /   //  6 B. /   /6

EXPONENTS PRACTICE Simplify:

1.   . 2. .     3.     4.      5. 6.

  ,

16.

  

 -4

27.  -*



28.

)

 

 

 

18. $



)

7

8. /6



30.  ->

%

11. )  

13. 89 89  14. :;  :;



 ,

31.  -* 32.

2. &  3.  

34.

35. .  

25.  <  +

37. $

26. =  = =

16. 

4

17.  >

5. 36

19.



7.  8. / 9.   10.   11.   12.   13. .8+ 9 14. : ;  15.  

7 

36. ?   

4. .  

 )-)

24.  

18.

6.

, 



38. $

EXPONENTS PRACTICE ANSWERS 1. 192

 -

33.   

23.     

7

 -)



22. -)

10.   

 



21.  -

9.   

 -7

29. :  : : 

19.  + 20. 

 ,



17. $ ) %

7. & 

12.

15.

20.

*

 4,

01) 2

0 1 2 @ 01 27



B)

30.   31.  



32.  ) ,



33.  ,

7 <

21.   22.  23.   24.

29.

+0 1 2 @



,

34. 35. 36.

,

25. 





26. A  27.  + 28. . 

37. 38.



  7  4 4

 , 

0 )1 ) 24 ...