Using exponents

Using exponents

Expanded form VS exponential form

When a number is in exponential form, it is written as a base and an exponent.

Expanded form is just the opposite: We write the base number over and over using the exponent to tell us how many time to write it.

Repeated Multiplication

Remember, an exponent is just a short way to show that a number is being multiplied BY ITSELF a certain number of repetitions. The repetitions are the EXPONENT, and the number being repeatedly multiplied by itself is the BASE

Exponential to Expanded

In this example, the exponential form is rewritten to the expanded form. As you can see, the BASE is written and it is written 3 times, which is the EXPONENT.

Multiple Choice

Using an exponent is simply a way to show that a number is being multiplied by ________ a certain number of times.

• the exponent

• itself

• one

Multiple Choice

 $5^3$  In this number, the BASE is 

• 5

• 3

• both

Multiple Choice

To expand

 $7^3$  you multiply

• 7 times 3

• 7 times itself 3 times

• 3 times 

Multiple Choice

What is the exponent in this expression?

 $5^7$  

• 5

• 7

• both

• neither

Evluating an answer

To evaluate an number in exponetial form, you first have to expand the number

Expanding the number

Write the base number doen the number of times that the exponent tells to do so. In this case, we write the 4 three times. Don't forget to put the dot showing that we are multiplying in between.

Multiply

The next step is to multiply the numbers.
4 times 4 is 16 and then we multiply 16 by 4. I chuck the numbers so that 16 is 10 + 6 (so I can do it in my head). 10 times 4 is 40 and 6 times 4 is 24. Then I add 40 plus 24 and get 64. So, 16 times 4 is 64.

 $4^3\ =\ 64$  

Fill in the Blanks

Evaluate

 $7^2$  

Multiple Choice

How do you write 6 to the 4th power

• $6^4$

• $4^2$

• $4^6$

Multiple Choice

Evaluate

 $3^4$  

• 27

• 34

• 12

• 81

Multiple Choice

What is the expanded form of

 $7^6$  

• 6•6•6•6•6•6•6

• 7•7•7•7•7•7

• 42

Multiple Choice

Which of these are NOT equal to 81?

• $3^4$

• $16^2$

• 3•3•3•3

• 9•2