Rules of Exponents - Paulding County Schools

Rules of
Exponents
Foldable Notes
Help your students
get beyond
traditional notes and
have a fun way to
organize their ideas!
Created by:
Lindsay Perro
©2014 Lindsay Perro
http://www.beyondtheworksheet.com
Foldable T ips!
Why use foldables?
• Foldables provide your students with a hands on way
to write notes. They don’t realize they are still learning
when they are folding, cutting and gluing/taping!
What do I need?
• Two sided tape - Yes, it’s a bit pricey
but you can add it to your supply list.
It is not as messy as liquid glue, won’t
peel off like a glue stick and you
don’t have to wait for it to dry or
have lumpy, soggy papers!
• Colorful paper - I prefer cardstock
because it is strong. If you can’t get
your hands on a large amount of
colorful paper, white copy paper will
be fine – but have your students use
colored pencils (no markers – they will bleed through
standard paper) to add some pops of color!
• Scissors – Depending on your students, you may want
to do some of the cutting. If not, be sure each student
has his/her own pair of scissors. Sharing will cause this
process to take a lot longer!
©2014 Lindsay Perro
http://www.beyondtheworksheet.com
Rules of Exponents
How to use :
• Cut along the dotted lines and fold on the solid lines
(use picture as a guide.)
• Copy page 5 of this document – this will be the front
of the foldable. Pick one of the three additional pages
to copy on the back. You may need to practice with
your printer/copier settings to ensure it copies in the
correct direction on the back.
Options :
I have provided three different versions of the
foldable.
1. Completely blank. Have your students write in the
notes and examples, OR use the cutouts and glue
in the notes and/or examples.
2. Notes written in. The notes have already been
typed in this version. Students need to write in the
example.
3. Examples filled in. The examples have been filled
in, but not the notes. This version provides students
with the ability to analyze the examples, and
determine the rules themselves. Recommended.
4. Notes & Examples written in. Use this version
especially for students who have writing difficulties
or have IEPs that require them to be given preprinted notes.
©2014 Lindsay Perro
http://www.beyondtheworksheet.com
Completed Example
©2014 Lindsay Perro
http://www.beyondtheworksheet.com
Power
Rules
Negative
Exponent
Rule
Zero
Exponent
Rule
http://www.beyondtheworksheet.com
©2014 Lindsay Perro
Quotient
Rule
Back of foldable
Product
Rule
Exponent Rules
Power of a Power
Power of a Product
Exponent Rules
When multiplying
exponents with the
same base, keep the
base and add the
powers.
When dividing
exponents with the
same base, keep the
base and subtract the
powers.
Power of a Power
To raise a power to a
power, multiply the
exponents.
Power of a Product
Each base is raised to the
power
A negative exponent
causes the number to be
re-written as the
reciprocal of the original
number and the
exponent becomes
positive.
Any number raised to
the zero power is
equal to one.
xⁿ ● xᵐ = xⁿ+ ᵐ
Exponent Rules
4² ● 4⁴ = 4⁶
xⁿ = xⁿ - ᵐ
xᵐ
4⁹ = 4³
4⁶
Power of a Power
Power of a Product
(xⁿ)ᵐ = xⁿᵐ
(4²)⁶ = 4¹²
(xy)ᵐ = xᵐyᵐ
(4 ● 5)⁶ = 4⁶ ● 5⁶
1
xⁿ
1
4¯⁶ =
4⁶
x¯ⁿ =
n° = 1
4° = 1
Exponent Rules
When multiplying
exponents with the
same base, keep the
base and add the
powers.
xⁿ ● xᵐ = xⁿ+ ᵐ
When dividing
exponents with the
same base, keep the
base and subtract the
powers.
xⁿ = xⁿ - ᵐ
xᵐ
Power of a Power
To raise a power to a
power, multiply the
exponents.
Power of a Product
Each base is raised to the
power
(xⁿ)ᵐ = xⁿᵐ
(4²)⁶ = 4¹²
A negative exponent
causes the number to be
re-written as the
reciprocal of the original
number and the exponent
becomes positive.
Any number raised to
the zero power is equal
to one.
4² ● 4⁴ = 4⁶
4⁹ = 4³
4⁶
(xy)ᵐ = xᵐyᵐ
(4 ● 5)⁶ = 4⁶ ● 5⁶
1
xⁿ
1
4¯⁶ =
4⁶
x¯ⁿ =
n° = 1
4° = 1
Exponent Rules Notes Cut-Outs
(for 2 foldables)
When multiplying
exponents with the
same base, keep the
base and add the
powers.
When multiplying
exponents with the
same base, keep the
base and add the
powers.
When dividing
exponents with the
same base, keep the
base and subtract the
powers.
When dividing
exponents with the
same base, keep the
base and subtract the
powers.
Power of a Power
To raise a power to a
power, multiply the
exponents.
Power of a Product
Each base is raised to the
power
Power of a Power
To raise a power to a
power, multiply the
exponents.
Power of a Product
Each base is raised to the
power
A negative exponent
causes the number to be
re-written as the
reciprocal of the original
number and the exponent
becomes positive.
A negative exponent
causes the number to be
re-written as the
reciprocal of the original
number and the exponent
becomes positive.
Any number raised to
the zero power is equal
to one.
Any number raised to
the zero power is equal
to one.
©2014 Lindsay Perro
http://www.beyondtheworksheet.com
Exponent Rules Examples Cut-Outs
(for 3 foldables)
xⁿ ● xᵐ = xⁿ+ ᵐ
4² ● 4⁴ = 4⁶
xⁿ
xᵐ
-
4⁹ = 4³
4⁶
(xⁿ)ᵐ = xⁿᵐ
(4²)⁶ = 4¹²
xⁿ ● xᵐ = xⁿ+ ᵐ
xⁿ ● xᵐ = xⁿ+ ᵐ
4² ● 4⁴ = 4⁶
xⁿ
xᵐ
4² ● 4⁴ = 4⁶
xⁿ = xⁿ - ᵐ
xᵐ
-
4⁹ = 4³
4⁶
(xⁿ)ᵐ = xⁿᵐ
(4²)⁶ = 4¹²
4⁹ = 4³
4⁶
(xⁿ)ᵐ = xⁿᵐ
(4²)⁶ = 4¹²
(xy)ᵐ = xᵐyᵐ
(4 ● 5)⁶ = 4⁶ ● 5⁶
(xy)ᵐ = xᵐyᵐ
(4 ● 5)⁶ = 4⁶ ● 5⁶
(xy)ᵐ = xᵐyᵐ
(4 ● 5)⁶ = 4⁶ ● 5⁶
n° = 1
n° = 1
n° = 1
1
xⁿ
1
4¯⁶ =
4⁶
x¯ⁿ =
4° = 1
©2014 Lindsay Perro
1
xⁿ
1
4¯⁶ =
4⁶
x¯ⁿ =
4° = 1
1
xⁿ
1
4¯⁶ =
4⁶
x¯ⁿ =
4° = 1
http://www.beyondtheworksheet.com
Terms of Use
© 2014 Lindsay Perro. Your download includes a limited use
license from Lindsay Perro. The purchaser may use the resource
for personal classroom use only. The license is not transferable
to another person. Other teachers are able to purchase their
own license through my store.
This resource is not to be used:
• By an entire grade level, school or district without purchasing the
proper number of licenses. For a large number of licensees, please
email me at [email protected]
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• On shared databases.
• Online in any way other than on a password protected website for
student use only.
• Copying any part of this product and placing it on the internet in any
form (with the exception of a single teacher’s password protected
website used by students only) is strictly forbidden and is a violation
of the Digital Millennium Copyright Act (DMCA). These items can be
picked up in a Google search and then shared worldwide for free.
Thank you for respecting my work!
Font licenses for this product were purchased from:
©Lindsay Perro
http://www.beyondtheworksheet.com
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