Transcript Document
WHEN MULTIPLYING LIKE BASES,
YOU ADD THE EXPONENTS
a a a
n
m
n m
FOR EXAMPLE:
3 3 3
2
5
25
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
43*5 415
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
x
2
NOW YOU TRY:
x 12
x4
x
12 4
x
8
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
11
Working backward-you subtract the exponents
when you are dividing like bases.
a 11
a1
a1
Then any number divided by itself will give you
ONE!!!
TRY THESE ON YOUR OWN:
5
x
3
x
1
x
3
x
4
5
1
2
x
1
x
8
TRY THESE ON YOUR OWN:
x
4
y
3
1
x y
3
4
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