Math 11 Opener - 9/9/11
Learning Target: Exponent Rules for Negative, Zero, and Fractional Exponents
Simplify.
1) (38)(34)
2) (-6a7b4c2)(-3ab5c9)
3)
2x12y7
10x11y3
4)
(-2p4qr8)5
1
Homework Key: Exponent Rules Packet (odds)
Fractions:
1)
x6
9)
-14x7y4
3)
x14
11)
-30x9y9
5)
24x10
7)
-24x5y7
Underwater:
1)
x5
3)
-2x4
5)
1/x3
or x-3
7)
5/x2
or 5x-2
9)
1/2x2
or 1/2x-2
No news:
1)
x15
3)
x8y12
5)
x10y9
7)
x35y9
9)
432x8y22
2
Notes:
Exponent Rules Continued...
Zero Exponents:
Anything to the zero power = ?
*Pay attention to what actually has the 0 as its exponent
5x0
50
(4x8y9)0
-2x3y0
-4
4
(6 )(6 )
x8
x8
3
What is a reciprocal?
The number you multiply by to get 1
2
3
4
1
5
Negative Exponents:
A negative exponent represents the reciprocal of a number
Never leave a negative exponent as is!
You should "fix" all negative exponents by flipping them
and changing them to positive.
3-2
3x-2
9x9y-3
-7a-12
1
4x-3
1
4-3
x-9
x8
y-5
y-4
(-8)-2
(-8x)-2
1
(5m2n4)-2
(2y)-3
4
Fractional Exponents:
The fraction just represents a root!
1/2 power is a square root
1/3 power is a cube root
1/4 power is a fourth root
etc...
91/2
3x
1/2
(√)
(∛)
(∜)
x1/2
81/3
4y1/3
(2y)1/4
(5x)1/8
(-16)1/2
5
Exit Ticket:
Simplify the following.
1)
2x0
4)
(4x)-2
2)
-8y-5
5)
(3x10y6)0
3)
(25)1/3
6)
9x1/2
6