Transcript Exponents and Powers

Exponents and Powers
63 is a power. What does it mean?
6 is the __________ 3 is the _____________
Write the expressions in exponential form
3 squared
x to the fourth power
s cubed
When asked to evaluate a power, it means "solve"
through substitution and multiplication until you get
the expression into simplest form
• Example x4 when x=2 is 2*2*2*2 =16
• BE CAREFUL FOR GROUPING
SYMBOLS!
• Follow Order of Operations by doing the
operations in the parenthesis before you
apply the power
These two problems really are
different!!!!
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12 + 32 =
1*1 +3*3 =
1+9=
10
•(1+3)2 =
•(4)2 =
•4*4 =
•16
Now it is your turn! If s = 2 and t = 4 evaluate
1) (t-s)3
2) t2-s2
3) s2 + t2
4)(s+t)2
5) t-s2
6) (t-s2)2
One more caution:
• Exponents only are applied to the object
directly in front of it!!!!!!!! These two
problems are different!
2x3 is
(2x)3 is
2*x*x*x
2*2*2*x*x*x or 8x3
Now it is your turn
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2x2 when x = 7
6t4 when t = 2
7b2 when b = 3
(5w)3 when w = 2
(4x)2 when x = 3
(d)2 – d when d = 5
Powers in real life
• Area of square is calculated by side times
side or side squared (s2)
• Volume of a cube is found by side times
side times side which is side cubed (s3)
• So, find the area of the floor that measures
8 feet by 8 feet.
• If the room is also 8 feet tall, how many
cubic feet of air is in the room?
Wrap it up
• Do page 12 Problems 1-12 even then
• Summarize 3-2-1
• 3 things that are important to know about
exponents
• 2 terms that are used when talking about
exponents
• 1 example of a common mistake that may
be made when applying exponents