Today we will compute examples (of positive integer

powers of nonnegative integers) as repeated

multiplication.

compute=to solvepositive integer =whole numbers greater than zerononnegative integers =positive numbers

• Positive integer- a whole number greater than 0.

• Nonnegative integer- a whole number greater than 0.

• Power or Exponent- a mathematical notation indicating the number of times a quantity is multiplied by itself.

– A power or exponent is placed to the right of and above another number.

34

3 x 3 x 3 x 3

81

Multiply 3x3x3x3 = 81

31 33

34

32

It is important to know how to read and write exponents because they are used when finding the area of certain

places.It is on your grade level standards probably all the way until you graduate 12th

gradeWhat other reasons can you

think of why it is important to read and write

exponents?

Definition of Exponent

• An exponent tells how many times a number is multiplied by itself.

34Base

Exponent

Repeated Multiplication

• Sometimes multiplication is done over and over and over.

• To write 3x3x3x3 we write 34

What an Exponent Represents

• An exponent tells how many times a number is multiplied by itself.

34

= 3 x 3 x 3 x 3

Products of powers with the same base can be found by writing each power as a repeated multiplication.

To write 5x5x5x5 we write 54

Fall 2004 9

Combining Exponents

5

32

x

xxxxx

xx

EXPONENTS

• Writing numbers with exponents is a method to write repeated multiplication

• Five squared is:

• Four cubed is:

• Two to the fourth power is:

25 5 5 25 34 4 4 4 64

42 2 2 2 2 16

What does the dot mean?

2 . 2 . 2 =16The . (dot) means you multiply

EXPONENTS

• Five squared is:

• Four cubed is:

• Two to the fourth power is:

25 5 5 25 34 4 4 4 64

42 2 2 2 2 16

Write as using exponents

5 45 . 5 . 5 . 5 =

What is the Exponent?

5 . 5 . 5 . 5 =54

What is the Exponent ?

8 . 8 . 8 . 8 =84

Now you tryWrite as Exponent

7 . 7 . 7 . 7 . 7 =75

Now you tryWrite as Exponent

8 . 8 . 8 . 8 . 8 =85

What does the dot mean in 2.2.2.2?

How do you write 5.5.5.5.5 in exponent form?

5

The dot means you multiply.

5