April 05, 2017
Laws of Exponents
(Cont'd)
Laws of Exponents
Zero Exponents
5
0
x
(xyz)
1
0
Any power which has an exponent of
zero is always.....
0
April 05, 2017
Laws of Exponents
Negative Exponents
x
-2
is an "unsimplified power".
All negative exponents must
be simplified and become
positive exponents. There
is a positive position and
negative position in the
numerator and denominator.
-2
x
2
x
x2
x
-2
Laws of Exponents
Power to Power Exponents
Mark all exponential values so they show the exponential form.
(If it does not have an exponent, insert a “1” to represent the
exponent.)
April 05, 2017
Laws of Exponents
Power to Power Exponents
Follow the distribution rule – Distribute through multiplication from the
exponent outside the parenthesis to the exponent inside the parenthesis.
Every value inside the parenthesis must have an exponent attached!!!
Exponent on the outside of the parenthesis multiplies (times) all inside
EXPONENTS.
Laws of Exponents
Power to Power Exponents
Remember, an exponent can only multiply another exponent!
April 05, 2017
Laws of Exponents
Power to Power Exponents
When you have a fraction – remember to distribute to the numerator as
well as the denominator.
2x5
m3n7
3
21 3x5 3
m3 3n7 3
•
•
•
•
23x15
m9 n21
Laws of Exponents
PRACTICE MAKES PERFECT!
Simplify the expressions. All negative exponents
must be positive.
-4
0
1. z
0
2. 27
4. (5x)
-4 2
5. a b c
2
3. 2x
-4 2
4m n
-1 2
6. 2 x
-4 2
m n
April 05, 2017