Exponents

Exponents Chapter 2 Lesson 2.8

How does a secret spread so fast? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Here is how a secret can spread. (Real Fast!) ,[object Object],I have a secret and I tell 3 of my best friends. My 3 friends each tell 3 more people. Look how many people now know the secret! 3 x 3 = 9 9 people know!

In an exponential expression, the base is the factor, and the exponent tells the amount of times to multiple that number by itself. (That is a mouthful!) ,[object Object],4 Your BASE = 3 Your EXPONENT = 4 A base is a number that can be expressed using an exponent. An exponent is the small number and is referred to as a “power.” 3 4 means 3 x 3 x 3 x 3 OR 3 to the forth power.

There are 3 ways to write an exponent. ,[object Object],4 Factored Form is one way. In factored form you spread the equation apart – piece by piece to show what it means. 2 4 Means 2 x 2 x 2 x 2 This is factored form!

Here is another way! ,[object Object],[object Object],[object Object],[object Object],[object Object],2 4

Here is the last way! (The Most Important Way) ,[object Object],[object Object],2 4 = 2 x 2 x 2 x 2 Now solve! 2 x 2 = 4 x 2 = 8 x 2 = 16

Try This! ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Exponents in Shape Form ,[object Object],X X =

Try this! X X X X = The yellow block = y Write this factored equation as an exponent. Answer: y 5

Task Rotation Exercise ,[object Object],[object Object],[object Object],[object Object],[object Object]

Task Rotation Answers ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Write in Factored Form ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Write in Standard Form ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Write as an exponent ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Write in Standard Form ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Let’s Review! ,[object Object],Which number is the “exponent?” Which number is the “base?” Write the exponent in factored form? Write the exponent in standard form? 2 5 5 x 5 25

What to expect next…… ,[object Object],[object Object],[object Object],[object Object]

Exponents

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