9A Aim 8 ­ zero and negative exponents.notebook
Aim # 8: How do we work with zero and negative exponents?
Do Now: What is the value of 25?
Fill in the following chart
25 =
24 =
23 =
What is the pattern as
we move down the
list???
22 =
21 =
20 =
2‐1 =
2‐2 =
MORE EXPONENT RULES
ZERO EXPONENT
Any base raised to the zero power is equal to _______
(except 00 is undefined)
NEGATIVE EXPONENT
x‐n =
9A Aim 8 ­ zero and negative exponents.notebook
Simplify. Leave all answers with positive exponents. 1) 4­3
5
( )
­2
3) (3x)­1
2) 3
4) (4x­2y3)­2 Practice ‐ Simplify. Leave all answers with positive exponents.
1) x2 . x3
2) x‐2 . x6
3) (x2 )4
4) (x‐3 )5
5) x0 . x4
6) (x4 )0
7) (3x4 )‐2
8) (ab2)‐1
9) (4x‐1)‐3
11) (x‐3)2 . (y6)3
10) (a‐4)‐3 . (a2)6
CHALLENGE QUESTIONS: What value(s) of x would make the following equation
true?
1. 3x . 34 = 310
2. (2x)3 = 115
2
.
Let's sum it up!!!
a‐n =
a0 =