¼ ¼ ¼ ½ ½ ¾ ¼ 2 513 713 Laws of Exponents GoalObjective ASSE1 Interpret expressions that represent a quantity in terms of its context a Interpret parts of an expression such as terms factors and coefficients ID: 278328
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Slide1
Warm-up
¼ + ¼ + ¼ =
½ + ½ =
¾ - ¼ =
2
5/13
+
7/13
=Slide2
Laws of Exponents
Goal/Objective:
A-SSE.1
Interpret expressions that represent a quantity in terms of its context.
a. Interpret parts of an expression, such as terms, factors, and coefficients.
N-RN.1
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5
1/3
to be the cube root of 5 because we want (5
1/3
)
3
= 5(
1/3
)
3
to hold, so (5
1/3
)
3
must equal 5.
N-RN.2
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Slide3
Real Life Application
http://www.youtube.com/watch?v=VSgB1IWr6O4
Exponents are used to measure the strength of earth-quakes. A level 1 earthquake is 1 x 10
1
, a level 2 earthquake is 1 x 10
2
, a level 3 is 1 x 10
3
, etc.Slide4
Graphic Organizer Distribution
What is the
meaning
of the expression ? 2
3
What is the
value of the expression 23 ? How do you know?
Class DiscussionSlide5
Exponents
exponential
base
exponentSlide6
The Laws of Exponents:
#1: Exponential form:
The exponent of a power indicates how
many times the base multiply itself.Slide7
Now you try!
10 x 10 x 10 x 10 x 10 =
4 x 4 x 4 x 4 x 4 x 4 =
50 x 50 x 50 =
3
8
=Slide8
The Laws of Exponents:
#2: Multiplicative Law of Exponents:
If the bases are the same
And if the operations between the bases is multiplication, then the
result is the base powered by the sum of individual exponents .Slide9
Now you try!
X
5
• x
3
( ) • ( ) =
5
2 • 57 = ( ) • ( ) =Slide10
The Laws of Exponents:
#3: Division Law of Exponents:
If the bases are the same
And if the operations between the bases is division, then the
result is the base powered by the difference of individual
exponents .Slide11Slide12
The Laws of Exponents:
#4: Exponential Law of Exponents:
If the exponential form
is powered by another exponent, then the result is the base
powered by the product of individual exponents.Slide13
The Laws of Exponents:
#5: Product Law of Exponents:
If the product of the bases
is powered by the same exponent, then the result is a multiplication
of individual factors of the product, each powered by the given
exponent.Slide14
The Laws of Exponents:
#6: Quotient Law of Exponents:
If the quotient of the bases
is powered by the same exponent, then the result is both
numerator and denominator , each powered by the given
exponent.Slide15
The Laws of Exponents:
#7: Negative Law of Exponents:
If the base is powered by the
negative exponent, then the base becomes reciprocal with the
positive exponent.Slide16
The Laws of Exponents:
#8: Zero Law of Exponents:
Any base powered by zero exponent
equals oneSlide17