Section 5.1: Review Name:

Period:

Directions: Determine if the statement is true or false. Justify your answer. 1.



0,



2.

False  1⋅ ⋅

⋅

  True  1⋅ ⋅

 

⋅

⋅

⋅

 

 

   

 

3. Using the exponent rule stated, write an example of an expression that equals 64.

Exponent Rule

Expression

Product of Powers Power to a Power Power of a Quotient Zero Power Rule

2. Show all of your work.

Directions: Evaluate the expression for 4.

6.

5. 4   

 

 

 

 

 

    ‐4     

 

 

3

   

  ‐22 

Directions: Use exponent rules to describe the mistake made in simplifying the expression. 7.

2

2

simplifies to 4

The base values were multiplied together 

8.  

simplifies to Exponents were divided instead of subtracted 

40 SDUHSD Math B College Prep Module #5 – TEACHER EDITION 2017-2018

∙

9.

10. 3

simplifies to

The exponent ‐2 was not applied to the entire base  

Exponents were multiplied instead of added 

11.

simplifies to

12. 4

simplifies to

simplifies to 4  

The exponent ‐1 was not applied to the numerator  or the denominator 

The zero exponent was not applied to 4 

Directions: Simplify the expressions so that all answers contain positive exponents. Assume no denominator is equal to zero. 13.

3 r 4

14. ( xy 3 )2 ( x 2 y )4

15.

9a 2b 4 c 2 3a 5bc 4

17.

18.

3

3

16.

⋅ 5 15

16 27

41 SDUHSD Math B College Prep Module #5 – TEACHER EDITION 2017-2018

19. 3

21.

20.

3

1 3

⋅

22.

27

24.

23.

3

1  1

81

25.

26.

27.

28.

29.

30.

31.

32.

3 ∙ 3

∙



33.

10 5

∙

,

42 SDUHSD Math B College Prep Module #5 – TEACHER EDITION 2017-2018