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Teaching Exponents

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by

Lauren Boone

on 12 July 2013

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Transcript of Teaching Exponents

Exponents
Vocabulary
Exponent- Indicates the number of times a # is to be multiplied by itself (power)
Rules of exponents
X - Anything raised to "1" will equal itself (Base #)
5 = 5

(X )
Base:
A # that is to be raised to a power

Power:
Number that tells how many times to multiply
3
2
Power
Base
Cubed: a number that has an exponent of 3
Squared: a number that has a exponent of 2
Forms
Factor form: When the numbers are expanded out

4 = 4 x 4 x 4
3
factors
Exponent form: when you only see the base number and power
4

3
0
0
X
1
- Anything raised to "0" will equal 1
6 = 1
1
X
M
X
X
n
= X
m+n
When multiplying, if the bases are the same then the exponents can be added.

4 x 4 = 4 = 4
standard form: the answer
4 = 64
3
2
3
2+3
5
x/X
m
n
When dividing,if the bases are the same then the exponents can be subtracted
5/5
= X
m-n
5
3
= 5
5-3
=5
2
Rules Continued
m
n
=X
mn
Expand, and make sure your following the order of operations
(x ) = (xx) =(xx)(xx)(xx)(xx)(xx)=x
2
5
5
10
(xy)
m
= x
m
y
m
Think of distribution and distribute the exponent to both variables.
(xy) = x y
2
2
2
Negative Exponents

A negative exponent means, that the exponet is on the wrong side of the fraction line, so you take the reciprocal to make it even (flip, divide)
Bases that are (-) and have a even exponent will have a (+) answer
-4 = (-4)*(-4)=16
2
Bases that are (-) and have a odd exponent will have a (-) answer
-5 = (-5)* (-5)* (-5)= -125
3
a
-n
=
1
a
n
7
-2
= 1
7
2
= 1
49
=0.0204
Cards of Exponents
ACE-
2-4
5-10
1
0
Variables
Face Cards-
Bases-
Exponents-
Jokers-
Product rule
ones rule
zero rule
Quotient rule
power rule

ex:10
2
ex: 10
3
Lets Practice!!
Full transcript