february 14 th copyright2009merrydavidson. rational exponents 1) anything to a power of zero =. 1 1
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February 14February 14thth
copyright2009merrydavidsoncopyright2009merrydavidson
RATIONAL RATIONAL EXPONENTSEXPONENTS
1) Anything to a power of zero = .
02m
n
1
1
RATIONAL RATIONAL EXPONENTSEXPONENTS
What is:
a)x times x?b)x2 times x2?
x2
x4
What did you do to the power to get the answer?
Added the exponents
RULE:RULE:2) When you are multiplying expressions with the same variables you ADD the exponents.
(am)(an) = am+n
a) (2x2y3)(-5x4y2) = -10x6y5
RULE:RULE:2) When you are multiplying expressions with the same variables you ADD the exponents.
(am)(an) = am+n
b) (5xy2z4)(-yz) = -5xy3z5
RULE:RULE:2) When you are multiplying expressions with the same variables you ADD the exponents.
(am)(an) = am+n
c) (-3x2y0)(2xy2) = -6x3y2
RATIONAL RATIONAL EXPONENTSEXPONENTS
What is (2x)2 ?
(2X)(2X)
How could you get the answer by skipping the middle step?
Raise the # to the power & Multiply the exponents of the variables
4x2
RULE:RULE:3) When you are raising to a power you MULTIPLY the exponents of the variables.
(am)n = amn (ab)m = ambm
a) (-5p2s4)3 = -125p6s12
m
mm
b
a
b
a
RULE:RULE:
3) When you are raising to a power you MULTIPLY the exponents of the variables.
(am)n = amn (ab)m = ambm
b) = 4
2m
n
4
4
16m
n
m
mm
b
a
b
a
RULE:RULE:4) When you are DIVIDING expressions with the same variables you SUBTRACT the exponents.
a) =
mm n
n
aa
a
6
4
a
a2a
RULE:RULE:4) When you are DIVIDING expressions with the same variables you SUBTRACT the exponents.
b) =
mm n
n
aa
a
5
9
3x
x4
3
x
RULE:RULE:4) When you are DIVIDING expressions with the same variables you SUBTRACT the exponents.
c) =
mm n
n
aa
a
3
2 2
z
x y
3 5
5 3 2
x yz
x y z
RULE:RULE:4) When you are DIVIDING expressions with the same variables you SUBTRACT the exponents.
d) =
mm n
n
aa
a
3
33
x
y
5 2
2 4 2
8
24
x yz
x y z
RULE:RULE:5) When you have a NEGATIVE EXPONENT you move the variable to the other side of the fraction line.
a) =
6
4
a
a2a
na
1
nn
aa
1 mm
a
b
b
a
a-n =
1nn
aa
Now do the next 3 Now do the next 3 examples on your examples on your
worksheet!worksheet!
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