3TH / VWO §9.3 / §9.6 Calculating with powers

§9.3 Calculating with powers
This § goes on where we left in 
§ 9.2 Calculating with exponents
You will learn a few rules to get rid of brackets.
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Slide 1: Slide
WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 22 slides, with interactive quiz and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

§9.3 Calculating with powers
This § goes on where we left in 
§ 9.2 Calculating with exponents
You will learn a few rules to get rid of brackets.

Slide 1 - Slide

Suppose we want to write this without brackets,
just like Carl wants to:

Slide 2 - Slide

Just like             =     x      x    
We now have 4x  instead of only x. It works the same.
Think of what has to be filled in 
on the dots.
Solution is in the next slide.
x3
x
x
x

Slide 3 - Slide

Solution:

Slide 4 - Slide

Let's get to a general rule for this.
This FIRST RULE is about MULTIPLYING with powers:
We now know that:                                 =                                      =

Now more general: 

And finally:                                                    
        

Slide 5 - Slide

Slide 6 - Slide

One more RULE comes up this lesson:

Now about FRACTIONS!
Think about what to fill in on the dots:
Solution on next slide.



Slide 7 - Slide

Solution:

Slide 8 - Slide

What to fill in on the last dots?

Slide 9 - Slide

Solution:

Slide 10 - Slide

Now the 2nd RULE, about FRACTIONS,
in general terms (so with variables):

Slide 11 - Slide

Some examples now.
Number 1:

Slide 12 - Slide

Example 2:

Slide 13 - Slide

A little practice:
Calculate and fill in your answer in the next slide:
                                               = .......
Choose from:   A. 16                    B.  64 
                                C.                          D. 12                             
(4x)3
x3
x3
x12
64x3

Slide 14 - Slide

(4x)^3 = ......
A
16x^3
B
64x^12
C
64x^3
D
12x^3

Slide 15 - Quiz

Solution:

Slide 16 - Slide

Slide 17 - Slide

Finally Task 2.
Work this one out on scrap paper and compare later.

Slide 18 - Slide

Solution:

Slide 19 - Slide

Finally ......
§9.3 Calculating with powers       
 instructs you on                                       
one more important topic.
See next slide!

Slide 20 - Slide

Slide 21 - Slide

Homework time.
Make:
§9.2 Calculating with exponents (skipping 18 up to 21)
 §9.3 Calculating with powers

+ Check with the Solutionsbook and finally
+ Hand in pics of your work on GoogleClassroom.

Slide 22 - Slide