Exponent Laws
1
TABLE OF CONTENTS
Title Page
1.
2.
5.
Introduction to Lesson
3.
Zero Power Law
4.
First Power Law
Negative Exponent Law
9.
Tayler Siminski #17 2A
6.
MA Law
7.
DS Law
8.
PM Law
Answer Key
2
Purpose of Presentation
Introduction
Overview of
exponent laws
presentation
In this PowerPoint we will cover
the basic exponent laws and learn
how to properly apply them to
given situations. At the end of the
presentation an answer key will
be provided to check your
answers for the practice
problems. Good luck and have fun
learning!
3
Operation Steps
Zero Power
Law
Rule: Any
number raised
to the zero
power equals
one
Step 1: Write out the problem
Step 2: Look to see what power the number is
being raised to, anything raised to the zero
power is one
Step 3: Simplify & take away parenthesis if any
Example
Practice
(-5)0
1. 24,9800
(-5)0
2. 190
1
Law #1
3. (-23)0
4
Operation Steps
First Power
Law
Step 1: Write out the problem
Rule: Any
number raised
to the first
power equals
itself
Step 3: Simplify & take away parenthesis if any
Law #2
Step 2: Look to see what power the number is
being raised to, anything raised to the first
power is itself
Example
Practice
2,4571
4. 561
2,4571
5. 31
2,457
6. -271
5
Operation Steps
Negative
Exponent Law
Rule: To get rid
of a negative
exponent, flip
it’s location
Step 1: Write out the problem
Step 2: Flip the location of the negative exponent and
it’s base (either top flips to bottom or bottom flips
to top, depending where the negative exponent
is)& take away negative sign
Step 3: Simplify & take away parenthesis if any
* If there is a whole number in the problem, this
number becomes your numerator/denominator
depending on the given problem
Law #3
Example
Practice
(5n-7)
7. 8-1
(5/n7)
8. x-4
5/n7
9. 5-3
6
Operation Steps
Step 1: Write out the problem
MA Law
Step 2: Multiply whole #’s
Rule: When
multiplying
exponent
numbers with
the same base,
all you have to
do is add the
exponents
Step 3: Drop the base (s) & add the exponents.
Remember to carry down any whole #’s from
the previous step
Law #4
Step 4: Simplify & take away parenthesis if any
*Only works if the number has the same base
Example
Practice
(2xy7)(-2x3y3)(-2x6y)
10. (-w2z)(6z3)(-wz)
(2 •-2•-2xy7x3y3x6y)
11. b • c • c • b • a • c
(8x1+3+6y7+3+1)
12. 82 • 5 2 • 32
8x10y11
13. (6x5)(x3y5)(-2y4)
7
Operation Steps
Step 1: Write out the problem
DS Law
Rule: When
dividing
exponent
numbers with
the same base,
all you have to
do is subtract
the exponents
Law #5
Step 2: Divide whole numbers
Step 3: Drop the base (s) & subtract exponents of the
same base. Remember to carry down any whole #’s
from the previous step.
Step 4: Simplify & take away parenthesis if any
* Keep coefficients and variables on the top and whole
numbers should be simplified like a fraction ex. 7/21
would = 1/3
Example
Practice
16s2t4/8s5t3
14. a7/a10
2s2t4/1s5t3
15. 12mn/12m3n5
2s2-5t4-3/1
16. -3b2c5/12b3c6
2s-3t
17. -60b3c2/24bc2
8
Operation Steps
PM Law
Rule: Taking a
power of a
power and
multiplying the
exponents
Law #6
Step 1: Write out the problem
Step 2: Distribute the outside exponent to
everything inside the parenthesis and take away
outside exponent
Step 3: Multiply the exponents
Step 4: Simplify & take away parenthesis
* Don’t distribute expo to #’s outside of the ()
Example
Practice
(-7x5yz8)3
18. 3(1023x4)2
(-71•3x5•3y1•3z8•3)
19. (-5x2y8)3
(-73x15y3z24)
20. -7(3x9)6
-343x15y3z24
21. (-x0y7z12)24
9
Answers Correspond to Practice
Numbers
Answer Key
Correct your
work to see how
well you
understand
each concept. If
you need extra
help, see your
math teacher or
go on ML for
extra practice.
1. 0
8. 1/x4
15. m-2n-4
2. 0
9. 1/125
16. 1/4bc
3. 0
10. 6w3z5
17. -5b2/2
4. 56
11. ab2c3
18. 900x8
5. 3
12. 14,400
19. -125x6y24
6. -27
13. -12x8y9
20. -5103x54
7. ⅛
14. a-3
xy168z288
21. –