Transcript Multiplication Properties of Exponents

Multiplication Properties of Exponents
Multiplying with Like Bases and
Exponents
Keep the base the same and add the
exponents.
Ex: 32  37 = 39
x4  x11 = x15
Power of a Power Property
 This
property is used when an
exponent is outside parentheses.
 Keep
the base the same and multiply
the exponents.
 If
your base does not have an
exponent put a “1” as the exponent.
(x2)5 = x10
(3x3)4 = (34)(x12) = 81x12
Negative & Zero Exponents
Zero Exponents: Any base, except
0, raised to the zero power is equal
to 1.
150 = 1
x0 = 1
(2x)0 = 1
Negative Exponents:
1.
2.
3.
Move the base to the opposite
location (numerator or
denominator). If you clean out the
numerator, you must put a 1 in the
numerator slot.
Move the exponent along with the
base and make it positive.
Simplify.
Division Properties of Exponents
To divide powers having the same base:
1. Keep the base in the location with the
highest exponent.
2. Subtract the exponents.
Exponent Rules
1.
2.
3.
4.
5.
Parentheses with exponents on
the outside.
Fix negative exponents
Numbers with exponents
Multiply numbers and add
exponents
Reduce