Intro to Exponents

What's a Power?

Powers are Exponential Expressions

What exactly are the parts of Powers?

It's like when you learned to multiply where you noted how many times you added a number now we note how many times we multiply a number

How to write it long hand?

• Examine the expression

• Determine what is the base (bottom number)

• Determine what the exponent is (floating number) This will be your reference number

• The base will be multiplied to itself as many times as the exponent says

Fill in the Blank

What is the base number to this expression $5^3$ ?

Fill in the Blank

Let's look at  $8^4$  what is the base of this expression? 

Fill in the Blank

How many times will the base be multiplied to itself for $5^3$ ?

Fill in the Blank

Let's look at  $7^{12}$  what is the exponent of this expression? 

Multiple Choice

What would  $5^3$  look if it were expanded?

•  $5\cdot5\cdot5$  

•  $5\cdot3$  

•  $3\cdot5$  

•  $3\cdot3\cdot3\cdot3\cdot3$  

Multiple Choice

Which is $6^8$  written in expanded form?

•  $6\times8$  

•  $8\times8\times8\times8\times8\times8$  

•  $6\times6\times6\times6\times6\times6\times6\times6$  

•  $8\times6$  

Using what we did to expand we can also go to Exponential Notation

• Find the number being multiplied to itself it will now become the base

• Count how many times the base is being multiplied (that will be the exponent)

Fill in the Blank

What will be base number be  $2\times2\times2\times2\times2\times2\times2$ ?

Fill in the Blank

What will be exponent number be  $2\times2\times2\times2\times2\times2\times2$ ?

Multiple Choice

What will the power expression look like  $2\times2\times2\times2\times2\times2\times2$ ?

•  $7^2$  

•  $2^7$  

•  $2\cdot7$  

Fill in the Blank

What would the base be for  $7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7$ ?

Fill in the Blank

What would the exponent be for  $7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7$ ?

Multiple Choice

Write  $7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7$  in power form?

•  $7\times9$  

•  $9^7$  

•  $7^9$  

And of Course Special Rules

• Powers of Zero

• Negative Powers

• Don't worry this is only your first time working with exponents and we will only talk about Powers of Zero

Powers Of Zero

Any power expression with an exponent of zero will equal 1

Powers of Zero

That really is it an exponent of zero with always equal 1

Fill in the Blank

What is $\left(any\ number\right)^0$  going to equal?

Multiple Choice

Solve  $167^0$  

• 167

• 0

• 1

Multiple Choice

 $3^2$  

• 3

• 6

• 9

• -6