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

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

§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.

Suppose we want to write this without brackets,

just like Carl wants to:

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.

x​3​​

x

x

x

Solution:

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:                                                    

        

One more RULE comes up this lesson:

Now about FRACTIONS!

Think about what to fill in on the dots:

Solution on next slide.

Solution:

What to fill in on the last dots?

Solution:

Now the 2nd RULE, about FRACTIONS,

in general terms (so with variables):

Some examples now.

Number 1:

Example 2:

A little practice:

Calculate and fill in your answer in the next slide:

                                               = .......

Choose from:   A. 16                    B.  64 

                                C.                          D. 12                             

(4x)​3​​

x​3​​

x​3​​

x​12​​

64x​3​​

(4x)^3 = ......

1. 16x^3
2. 64x^12
3. 64x^3
4. 12x^3

Solution:

Finally Task 2.

Work this one out on scrap paper and compare later.

Solution:

Finally ......

§9.3 Calculating with powers       

 instructs you on                                       

one more important topic.

See next 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.