Exponents day 1

Exponents

day 1

Fill in the Blanks

What is 5 x 5?

Fill in the Blanks

What is 5 x 5 x 5?

Fill in the Blanks

What is 5 x 5 x 5 x 5?

Vocab

• Base - When a number is raised to a power, the number that is used as a factor is the base

• Exponent - The number that indicates how many times the base is used as a factor

• Power - A number produced by raising a base to an exponent

Example:

• 3 x 3 x 3 x 3 x 3

• Base 3

• Exponent 5

• Written as

   $3^5$  
  

• Read three to the power of five

Special exponents

• an exponent of 2 is called squared

   $7^2$  is said seven squared

• an exponent of 3 is called cubed                                                                    $8^3$  is said eight cubed

More vocab

• Exponential form is writing the amount using exponents such as

   $4^5$  

• Expanded form is writing the amount as multiplication such as 4x4x4x4x4

• Typing on a computer use the ^ (called a carrot) to symbolize an exponent - hold shift and press 6 to get the carrot

• 4^5 is  $4^5$  
  
  

Fill in the Blanks

How is 8x8x8x8x8x8 written in exponent form?

Fill in the Blanks

What is the expanded form of

 $9^3$  ?

Lets look at some patterns:

•  $5^4$  = 5x5x5x5 = 625

•  $5^3$  = 5x5x5 = 125

•  $5^2$  = 5x5 = 25

•  $5^1$  = 5

• Each time the exponent gets smaller by 1 the answer is divided by the base (5 in this case)

• What would  $5^0$  be?

• Any number to the power of 0 is 1.

  What about  $5^{-1}$  ?

Fill in the Blanks

What is

 $8^0?$  

Negative exponents create fractions

•  $5^{-2}=\frac{1}{5x5}=\frac{1}{25}$  

•  $8^{-4}=\frac{1}{8^4}=\frac{1}{4096}$  

Fill in the Blanks

What is

 $7^{-2}$  ?

iXL practice

F2