Download Rules of Exponents - hrsbstaff.ednet.ns.ca

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts
no text concepts found
Transcript
WHEN MULTIPLYING LIKE BASES,
YOU ADD THE EXPONENTS
a a   a
n
m
n m
FOR EXAMPLE:
3 3   3
2
5
2 5
3
7
NOW YOU TRY:
4 4   4
6
4
6 4
 4
10
WHEN RAISING A POWER TO A
POWER, YOU MULTIPLY THE
EXPONENTS
a 
n
m
a
nm
FOR EXAMPLE:
3 
4 6
3
4 *6
3
24
NOW YOU TRY:
4 
3
5
 4 3*5  41 5
ANY INTEGER RAISED TO NEGATIVE
ONE IS THE RECIPROCAL OF THAT
INTEGER.
a
1
1

a
FOR EXAMPLE:
3
1
1

3
NOW YOU TRY:
15
1
1

15
Any fraction raised to negative one is
the reciprocal of that fraction.
a 
 
b 
1
b

a
FOR EXAMPLE:
2


5
1
5

2
NOW YOU TRY:
 9 


 15 
1
15

9
WHEN DIVIDING LIKE BASES, YOU
SUBTRACT THE EXPONENTS.
 an

am


n m


a


FOR EXAMPLE:
x5

x3



  x

5 3
 x2
NOW YOU TRY:
 x 12 
12 4
8



x
x
x4 


ANY NUMBER RAISED TO THE FIRST
POWER IS ITSELF.
a a
1
FOR EXAMPLE:
3 3
1
NOW YOU TRY:
528921  528921
1
ANY NUMBER RAISED TO THE ZERO
POWER IS ONE.
a 1
0
FOR EXAMPLE:
3 1
0
NOW YOU TRY:
528921  1
0
HOW DO WE GET ANY NUMBER
RAISED TO THE ZERO POWER
EQUAL TO ONE?
0
a
0
a 1
can be written as
a
11
Working backward-you subtract the exponents
when you are dividing like bases.
a 11
a1
 1
a
Then any number divided by itself will give you
ONE!!!
TRY THESE ON YOUR OWN:
x 
 3 
x 
1
1

2
x
x 
 3 
x 
4
1

8
x
5
5
TRY THESE ON YOUR OWN:
x

4
y
3
1
3
4
x y
x
3
4

x y
4
y
3
TRY THIS LAST ONE ON YOUR
OWN:
a b
a

5 7
9
a b
b
3
2
8