UNIT 8
UNIT 8
UNIT 8
UNIT 8
UNIT 8
EXPONENTS AND POWERS
EXPONENTS AND POWERS
EXPONENTS AND POWERS
EXPONENTS AND POWERS
EXPONENTS AND POWERS
(A)
(A)
(A)
Main Concepts and Results
Main Concepts and Results
Main Concepts and Results
(A)
(A)
Main Concepts and Results
Main Concepts and Results
• Exponential notation is a powerful way to express repeated
multiplication of the same number. Specifically, powers of 10
express very large and very small numbers in a manner which is
convenient to read, write and compare.
1
=
• For any non-zero integer a, a
–m
m
a
• Laws of exponents are
(a) a
m
× a
n
= a
m+n
÷ a
(b) a
m
n
= a
m–n
(c) (a
m
)
n
= a
mn
m
m
m
(d) a
× b
= (ab)
≠
(e) a° = 1, where a
0
m
m
⎛
⎞
a
a
= ⎜
⎟
(f)
m
⎝
⎠
b
b
• Numbers can be expressed in expanded form by using exponents.
• Very large and very small numbers can be expressed in standard
form.
• Standard form is also called scientific notation form.