WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS

75252 3333

FOR EXAMPLE:

mn aamna

WHEN DIVIDING LIKE BASES, YOU SUBTRACT THE EXPONENTS.

FOR EXAMPLE:

NOW YOU TRY:

mnm

n

aaa

2353

5

xxxx

WHEN RAISING A POWER TO A POWER, YOU MULTIPLY THE

EXPONENTS

FOR EXAMPLE:

nmmn aa

246*464 333

Raising a product to an exponent

mab mmba

For example:

mxy2

mnba22 mnmm ya22

mmm yx2

Raising a quotient to an exponent

m

q

pm

m

q

p

For example:

m

nc

ab2

mn

mm

c

ba 2

WHAT ABOU NEGATIVE FRACTIONS? CONSIDER THE

FOLLOWING

2 4 8 16 32 64

WHAT IS THIS IN EXPONENT FORM

21 22 23 24 25 26

ADDING 1 TO THE EXPONENT

SUBTRACTING 1 FROM THE EXPONENT

SO LETS CONTINUE THE PATTERN ONLY MOVING TO THE LEFT

1/8 ¼ ½ 1 2 4 8 16 32 64

2-3 2-2 2-1 20 21 22 23 24 25 26

ANY INTEGER RAISED TO NEGATIVE ONE IS THE

RECIPROCAL OF THAT INTEGER.

FOR EXAMPLE:

aa

11

31

3 1

115151

Any fraction raised to negative one is the reciprocal of that

fraction.

FOR EXAMPLE:

ab

ba

1

25

52

1

1

159

915

HOW DO WE GET ANY NUMBER RAISED TO THE ZERO POWER

EQUAL TO ONE?

10 a0a can be written

as

11aWorking backward-you subtract the exponents

when you are dividing like bases.

1

111

aa

a

Then any number divided by itself will give you ONE!!!

ANY NUMBER RAISED TO THE ZERO POWER IS ONE.

FOR EXAMPLE:

10 a

130

0528921 1

TRY THESE ON YOUR OWN:

1

3

5

xx

4

3

5

xx