Algebra 1
Notes – 6.1 – continued
Name_______________________________
More Properties of Exponents
Opener – Simplify the following expressions.
35
A.
35
zero exponent –
B.
35
37
any term to the zero power equals 1
Examples 1 – 3: Simplify each expression.
1.
x0
2.
60
3.
x3
x4
x7
Negative Exponents
We don’t like negative exponents, so we need a way to rewrite them so they have positive exponents.
“To change the sign, you must cross the line.”
Examples 4 – 12: Simplify each expression using only positive exponents.
4.
x–3
7.
104
10.
y6
y7
106
5.
1
2 4
8.
x9
11.
(62)–2
x 9
6.
2x–2
9.
5 8
5 4
12.
(w3)2
Examples 13 – 16: Simplify the following expressions.
13. (9x2y)2
15.
x
 
y
14.
–(4z)2
16.
 7x 3 


 z 
3
2
Powers of Products and Quotients
If you don’t feel like writing out the whole problem, you can apply the exponent to everything inside the
parentheses (don’t leave ANYTHING out!!).
Examples 17 – 19: Simplify using only positive exponents.
17. (–5yx3)2
18.
 a 
 10 


3
5
19.
 2x 
 3 
 
22.
(3x–4)(5x–2)
Practice 20 – 22: Simplify using only positive exponents.
20. (6x2y–4)3
21.
2m2n5
m4n3