Download Exponent Rules Task

GSE Algebra I
Unit 7 – Exponential Functions
7.5 - Task
Name: ____________________________________________ Date: ___________________________
Multiplication
Part 1: Expand each expression then evaluate
1. 28 = _____ _____ _____ _____ _____ _____ _____ _____ = ______
2. 5 3 =
3. x 5 =
4. 81 84 =
5. x 5 x 4 =
6. If two expressions have the same factor or base, what happens to the exponents when the
expressions are multiplied?________________________________________________________________
__________________________________________________________________________________________
Part 2: Find the product of the expressions.
7. ( 6x 2 )( 4x 2 )
8. (4f 9h3 )(-5f 6)(-3h 2)


9. -22 x 3 y4 (-3)2 x 4 y4

Power to a Power
Part 1: Expand each expression and write the product.
10. (23 )4 = _________ __________ _________ _________ = ____________
11. (p2 )5 =
12. What is the fast way to simplify when you raise an exponent to another power (or what
can you do instead of expanding)? _______________________________________________________
__________________________________________________________________________________________
Part 2: Find the product. Expand if it helps you.
13. (2x)2
14. (7j2 )3
GSE Algebra I
Unit 7 – Exponential Functions
7.5 - Task
Division
Part 1: Expand each expression to find the quotient.
24
15. 3 =
= _______________
2
16.
23 x 3 y 4
=
2  xy 2 z
17. Explain why you can subtract exponents when you are dividing two things with the same
base.____________________________________________________________________________________
__________________________________________________________________________________________
Part 2: Simplify to find the quotients.
x10
12  g8  h4
18. 4
19.
x
g 3 h5
20.
3x14 y11
18x 2
Negative Exponents
21. Anything to the zero power is ______________. Show why this happens by solving this
x5
problem. 5 = ________
x
Rewrite without negative exponents.
4
22. 6x x
Exponent
44

-10
0
23. 2 x
Result
-3

4
 x -8 
24.  11 
y 
-2
25. What is the pattern on the left side of the table with the
exponents?
43
42
41
40
4 1
4 2
26. What is the pattern on the right side of the table with the results?