SUBJECT: MATHEMATICS ASSESSMENT: NOTES and EXAMPLES
CONCEPTS: EXPONENTS COMPILED BY: S.T TSOTETSI
______________________________________________________________________
OBJECTIVES:
1. Introduction exponents
2. Exponential laws and example.
1. INTRODUCTION TO EXPONENTS
Exponents- show how many times the copy of the base is repeated
n
x
n−represent the exponent
x−represent the base
n
x =x × x × x × x … . n׿
2. EXPONENTIAL LAWS
Multiplication law- when base are the same add the exponents
n m n+m
x × x =x
Example:
Simplify the following exponent:
a. a × a2 × a × a3
1 +2+1+ 3
¿a … … add the exponents
¿ a7
b. 2 a ×a 2 b × 2b 2
¿ 21+1 a1 +2 b 1+2 … … add exponents of same base
2 3 3
¿2 a b
CONCEPTS: EXPONENTS COMPILED BY: S.T TSOTETSI
______________________________________________________________________
OBJECTIVES:
1. Introduction exponents
2. Exponential laws and example.
1. INTRODUCTION TO EXPONENTS
Exponents- show how many times the copy of the base is repeated
n
x
n−represent the exponent
x−represent the base
n
x =x × x × x × x … . n׿
2. EXPONENTIAL LAWS
Multiplication law- when base are the same add the exponents
n m n+m
x × x =x
Example:
Simplify the following exponent:
a. a × a2 × a × a3
1 +2+1+ 3
¿a … … add the exponents
¿ a7
b. 2 a ×a 2 b × 2b 2
¿ 21+1 a1 +2 b 1+2 … … add exponents of same base
2 3 3
¿2 a b
