Exponents & PEMDAS

Exponents & PEMDAS

pEmdas: EXPONENTS

The exponent of a number says how many times to use the number in a multiplication.

"Three to the Second Power"

 $3^2$  = 3  $\cdot$  3 = 9

Other Ways to Say

 $3^2$  

• Three squared

• Three to the power 2

Multiple Choice

Exponents can be referred to as a "power" or "index".

• TRUE

• FALSE

Multiple Choice

Solve

 $4^2$  

• 8

• 24

• 16

 $4^2$  =   $4\cdot\ 4\ =$  16

The "2" tells me how many times to multiply the base number.

Why do we use exponents?

• Exponents make it easier to write and use many multiplications

• Instead of writing

   $5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot=$  

• You can just write  $5^7$  

• EASY, right?!

Multiple Choice

What is another way to write

 $8\cdot8\cdot8\cdot8\cdot8\cdot8=$  ?

•  $8\cdot6=$  

•  $8^6$  

•  $6^8$  

Another Way of Writing It

Sometimes people use the ^ symbol (above the 6 on your keyboard), as it is easy to type.

For example

• Example: 2^4 is the same as 2⁴

  2^4 = 2 × 2 × 2 × 2 = 16

• Now you try it!

Fill in the Blank

On your computer, type

 $8^5$  using the symbol ^

Multiple Choice

Solve

 $\left(5^2+3\right)\ -10=$  

• 3

• 13

• 18

• 15

Multiple Choice

 $7^5=$  

• 35

• 16,807

• 12

Multiple Choice

Solve

 $3^3=$  

• 9

• 6

• 27

Multiple Choice

Solve

 $\left(8\cdot2^2\right)+3=$  

• 27

• 22

• 15