EXPONENTS

:• Identifying the concept , parts and laws.

What are they?...

• Exponents show repeated multiplication.

An exponent is a number multiplied by itself the given number of times.

For example: 

53 = 5 X 5 X 5, 62 = 6 X 6 

and 78 = 7 X 7 X 7 X 7 X 7 X 7 X 7 X 7. 

Parts

The exponent tells us how many times the base is used as a factor.

THE EXPONENT OF A NUMBER SAYS HOW MANY TIMES TO USE THE NUMBER IN MULTIPLICATION

So an Exponent just saves you writing out lots of multiplies!

Exercise: Write the Base and Exponent

How to read a power…

In words: 82 could be called "8 to the second power", "8 to the power 2" or simply "8 squared"

Do not forget…

Write in Exponent Form using numbers and letters

PowerOr

Exponential Form

(Power)

Base Exponent

RepeatedMultiplication

OrExpanded form

Value orStandard Form

3 5

  5 x 5 x 5

  2 4

  5 2 x 2 x 2 x 2 x 2

  3 27

So we have: Fill in the blanks on the table below

memory game http://www.math4childrenplus.com/powers-memory-game/

Choose the correct answerOption 1Pow

www.mathnook.com/math/pyramidmath.html

Cat race www.mathplayground.com/ASB_Otter_Rush.html

Pirate watersBoard Game

http://mathgames4children.com/fun-board-games/6th-grade/pirate/exponents-pirate-waters-grade-6-game.html

On line quiz www.softschools.com/quiz_time/math/exponents/theme6.html

Baseball exponents http://www.xpmath.com/forums/arcade.php?do=play&gameid=95

SOME LINKS TO PLAY AND PRACTICE…

Laws of exponents

6 Laws of Exponents #1

To Multiply Two Powers With Common Bases ⇨ add the

exponents.

6 Laws of Exponents #2

6

2

a

a

To divide Two Powers With Common Bases ⇨ subtract the

exponents.

6 Laws of Exponents #3A Power Raised To A Power

43a

To raise a power to a power ⇨ multiply exponents

6 Laws of Exponents #4

To Raise a QUANTITY to a Power…raise each factor to that power.

(xy)n = xnyn (3.5)3 = 33 X 53

6 Laws of Exponents #5

To Raise a FRACTION to a Power……Raise BOTH Numerator & Denominator

to that power

4a

b

6 Laws of Exponents #6Zero Exponent

Any base with a zero exponent will have a value of 1.

0a 02

03,263,546