Simplifying Exponents How do I know when it is simplified??? Only one of each base Constants...
Transcript of Simplifying Exponents How do I know when it is simplified??? Only one of each base Constants...
Simplifying Exponents
How do I know when it is simplified???
Only one of each base
Constants simplified
NO negative or zero exponents
3xIt tells you It tells you how many how many times to times to
multiply a multiply a base by base by itself.itself.
5x xxxxx =
43 xx )()( xxxxxxx
7x
=
=
Action Rule Example
Multiply Two Powers
ADD the exponents
x5x7= x12
Exponent Rules
))(4( 3442 cabbca
23)(x
23)(x33 xx
6x
)()( xxxxxx
=
=
=
Exponent Rules
Action Rule Example
Multiply Two Powers
ADD the exponents
x5x7= x12
Power to a power
MULTIPLY the exponents
(x3yz4)5 = x15y5z20
242 )3( yzx
5x 9yz4
3
Exponent Rules
Action Rule Example
Multiply Two Powers
ADD the exponents
x5x7= x12
Raise power to a power
MULTIPLY the exponents
(x3yz4)5 = x15y5z20
Divide Two Powers
SUBTRACT the exponents
4x 5y 2
8x 3y 7x 2
2y 5
EXAMPLE #1EXAMPLE #1
2
4
x
x
6
2
y
y
4a2c8a2c 5
Action Rule Example
Zero Power =1 x0= 1x3y0=x3
10x
0000,000,1 1
QUESTION:QUESTION:What happens What happens when a zero when a zero exponent is exponent is
embedded in embedded in an exponent an exponent expression?expression?
020 cba
EXAMPLE
NEGATIVE EXPONENTS
OK. TOO EASY OK. TOO EASY FOR YOU.FOR YOU.
BUT CAN YOU BUT CAN YOU HANDLE HANDLE
NEGATIVE NEGATIVE EXPONENTS?EXPONENTS?
Action Rule Example
Zero Power =1 x0= 1x3y0=x3
Negative Exponents
Flip it
x 2 1
x 2
1
y 5 y 5
x 5
1
x 9
x 5y 0x 4EXAMPLE
7x 3y 5
az 4
EXAMPLE
(2x 5y 73x 4y)3EXAMPLE
4x 4y 8z 11
8a3x 3y14
EXAMPLE
3x 3y 7z5
4 1y 4z 8
EXAMPLE
6x 4y 3z
y 5
EXAMPLE
4a3b6 3 3a 5b4 2EXAMPLE