1

ALGEBRA 1BUNIT 8

Multiplication Property of Exponents

ALGEBRA 1BUNIT 8

Multiplication Property of Exponents

DAY 2

x3 x x x=

exponent

baseBASE -- The number or variable that is multiplied by itself the number of times = to exponent. POWER / EXPONENT -- The superscript of the

base that represents the number of times the base is multiplied by itself.

FACTOR -- One of the numbers / variables / expressions that are multiplied together.

EXPONENTIAL FORM – Written in the form of a base

and power EXPONENTIAL FUNCTION – A function whose exponent involves at least one variable.

Example 1:

422

1 42

52

)2)(2)(2)(2)(2(

EXPONENTIAL FORM

32SIMPLIFIED FORM

REMEMBER – An odd number of negatives gives you a negative answer and an even number of negatives gives you a positive answer

Example 2:

52 33

2 53 73

3333333

EXPONENTIAL FORM

SIMPLIFIED FORM

2187

Example 3: 323

2 33

63 EXPONENTIAL FORM

SIMPLIFIED FORM

3 3 3 3 3 3 729

COMBINATION OF RULESEXAMPLE 4:

2

332

2

15

bb 23

2323

2

15

bb

66

4

1125 bb 66

4

1

1

125bb

12

4

125b

Summary

• Given , will the simplified answer be positive or negative, why?

Given the answer will be_________, because_____________________• What does the exponent/power

represent?The exponent represents________________• In example #4 what is the first thing you

do to start solving the problem?In example #4 the first thing you do is______