Exponents and Powers63 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!!!!

• 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-s23) 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

2*x*x*x

(2x)3 is

2*2*2*x*x*x or 8x3

Now it is your turn

• 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