# 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.

Lesson 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

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 6 -Slide

One more RULE comes up this lesson:

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

Solution:

#### Slide 8 -Slide

What to fill in on the last dots?

Solution:

#### Slide 10 -Slide

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

#### Slide 11 -Slide

Some examples now.
Number 1:

Example 2:

#### Slide 13 -Slide

A little practice:
= .......
Choose from:   A. 16                    B.  64
C.                          D. 12
(4x)3
x3
x3
x12
64x3

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

Solution:

#### Slide 17 -Slide

Work this one out on scrap paper and compare later.

Solution:

#### Slide 19 -Slide

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