Today you will divide monomials using the properties of exponents

Today you will
divide monomials using the properties of exponents
and
simplify expressions containing negative and zero exponents
7.2 Division Properties of Exponents
Quotient of Powers
x5
x2
Power of a Quotient
x
2
3
( (
Zero Exponent
w5
w5
Negative Exponent
n3
n8
5 xy
15 w 3
-1
( (
2
3
x3
y4
-2
( (
-2
( (
10
b
n3
The order of magnitude of a quantity is the
number rounded to the nearest power of ten.
It's used to compare measures and to estimate and
perform rough calculations
Example:
11
The power of 10 closest to 95,000,000,000 is 10
11
So the order of magnitude of 95,000,000,000 is 10
The average height of a man is 1.7 meters.
The average height of an ant is 0.0008 meter.
How many orders of magnitude as tall as an ant is a man?