is there a easier way of doing a very long exponents ?

You can use the associative property of multiplication to group numbers. For example: 3^6 = 3 x 3 x 3 x 3 x 3 x 3 If you do in one at a time: 3 x 3 = 9; 9 x 3 = 27; 27 x 3 = 81; 81 x 3 = 243; 243 x 3 = 729 Using grouping: (3 x 3) x (3 x 3) x (3 x 3) = 9 x 9 x 9 = 81 x 9 = 729 Hope this helps.

how do I express 144 in exponential form?

12^2 is the same as 12 * 12, or 144.

im wrighting notes on my laptop but i cant figure out how to right it as 4 to the 3rd power with out completely typing a sentence out every time i use open office its the same thing basically as microsoft office

for me you hold shift and press 6 so it would be 4^3

why do we use exponents?

Hey Aaron, exponents are just a faster (and easier) way to show repeated multiplication.

how are you supposed to write an exponent when your keyboard doesn't do that

Use the carat symbol "^" (shift-6) on your keyboard. For example: 5^3 is understood to be 5 to the power of 3. Hope this helps.

Do we have to watch the videos even if we know the answer and we understand exsponets

no but it will still give you points if you play the vid and walk away

Main content

6th grade

Course: 6th grade > Unit 4

Lesson 1: Meaning of exponents

Intro to exponents

Google Classroom

Learn how to use exponents and bases. For example, writing 4 x 4 x 4 x 4 x 4 with an exponent.

Here's what an exponent and a base look like:

$4^{3}$ ‍

The small number written above and to the right of a number is called an

exponent

. The number underneath the exponent is called the

base

. In this example, the base is

4

, and the exponent is

3

Here's an example where the base is

7

, and the exponent is

5

$7^{5}$ ‍

An exponent tells us to multiply the base by itself that number of times. In our example,

4^{3}

tells us to multiply the base of

4

by itself

3

times:

$4^{3} = 4 \times 4 \times 4$ ‍

Once we write out the multiplication problem, we can easily evaluate the expression. Let's do this for the example we've been working with:

$4^{3} = 4 \times 4 \times 4$ ‍

$= 16 \times 4$ ‍

$= 64$ ‍

The main reason we use exponents is because it's a shorter way to write out big numbers. For example, let's say we want to express the following:

$2 \times 2 \times 2 \times 2 \times 2 \times 2$ ‍

That's really long to write. My hands hurt just from typing it! Instead we can see that

2

is multiplied by itself

6

times. This means we can write the same thing with

2

as the base and

6

as the exponent:

$2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{6}$ ‍

Cool, lets make sure we understand exponents by trying some practice problems.

Practice set:

Problem 1A

Write $7 \times 7 \times 7$ ‍ using an exponent.

Challenge set:

Problem 2A

Complete the inequality with $>, <,$ ‍ or $=$ ‍.

2^{5}

5^{2}

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Eathwormbaba （蚯蚓爸爸）
Posted 5 years ago. Direct link to Eathwormbaba （蚯蚓爸爸）'s post “is there a easier way of ...”
is there a easier way of doing a very long exponents ?
Button navigates to signup pageComment on Eathwormbaba （蚯蚓爸爸）'s post “is there a easier way of ...”
(79 votes)
Answer
- Kim Seidel
  Posted 5 years ago. Direct link to Kim Seidel's post “You can use the associati...”
  You can use the associative property of multiplication to group numbers.
  For example:
  3^6 = 3 x 3 x 3 x 3 x 3 x 3
  If you do in one at a time: 3 x 3 = 9; 9 x 3 = 27; 27 x 3 = 81; 81 x 3 = 243; 243 x 3 = 729
  Using grouping: (3 x 3) x (3 x 3) x (3 x 3) = 9 x 9 x 9 = 81 x 9 = 729
  
  Hope this helps.
  Comment on Kim Seidel's post “You can use the associati...”
  (139 votes)
TREVORE
Posted a year ago. Direct link to TREVORE's post “why does math exist”
why does math exist
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(43 votes)
Answer
- itzy💗
  Posted 10 months ago. Direct link to itzy💗's post “good question”
  good question
  Comment on itzy💗's post “good question”
  (7 votes)
Joanne Anibarro
Posted 8 years ago. Direct link to Joanne Anibarro's post “how do I express 144 in e...”
how do I express 144 in exponential form?
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(25 votes)
Answer
- Jett Burns
  Posted 8 years ago. Direct link to Jett Burns's post “12^2 is the same as 12 * ...”
  12^2 is the same as 12 * 12, or 144.
  Comment on Jett Burns's post “12^2 is the same as 12 * ...”
  (50 votes)
alicia
Posted 6 years ago. Direct link to alicia's post “im wrighting notes on my ...”
im wrighting notes on my laptop but i cant figure out how to right it as 4 to the 3rd power with out completely typing a sentence out every time i use open office its the same thing basically as microsoft office
Button navigates to signup pageComment on alicia's post “im wrighting notes on my ...”
(15 votes)
Answer
- Trina
  Posted a year ago. Direct link to Trina's post “for me you hold shift and...”
  for me you hold shift and press 6 so it would be 4^3
  Comment on Trina's post “for me you hold shift and...”
  (12 votes)
aaron.hughe1
Posted 5 years ago. Direct link to aaron.hughe1's post “why do we use exponents?”
why do we use exponents?
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(11 votes)
Answer
- Nicole
  Posted 5 years ago. Direct link to Nicole's post “Hey Aaron, exponents are ...”
  Hey Aaron, exponents are just a faster (and easier) way to show repeated multiplication.
  Button navigates to signup page
  (39 votes)
abbagail.shinn
Posted 2 months ago. Direct link to abbagail.shinn's post “bro im just trying to pas...”
bro im just trying to pass this school year, not pass away
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(21 votes)
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- 30kemmerling
  Posted 2 months ago. Direct link to 30kemmerling's post “for real”
  for real
  Comment on 30kemmerling's post “for real”
  (3 votes)
kmorris5
Posted 3 years ago. Direct link to kmorris5's post “how are you supposed to w...”
how are you supposed to write an exponent when your keyboard doesn't do that
Button navigates to signup pageComment on kmorris5's post “how are you supposed to w...”
(10 votes)
Answer
- Kim Seidel
  Posted 3 years ago. Direct link to Kim Seidel's post “Use the carat symbol "^" ...”
  Use the carat symbol "^" (shift-6) on your keyboard.
  For example: 5^3 is understood to be 5 to the power of 3.
  Hope this helps.
  Comment on Kim Seidel's post “Use the carat symbol "^" ...”
  (23 votes)
Dipak
Posted 3 years ago. Direct link to Dipak's post “what is 1000000 to the 3r...”
what is 1000000 to the 3rd power? How do u figure out those big type of exponent questions if you get them
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(9 votes)
Answer
- dsdakellyzachary
  Posted 10 months ago. Direct link to dsdakellyzachary's post “with a calculator”
  with a calculator
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  (5 votes)
Madison Brady
Posted 3 months ago. Direct link to Madison Brady's post “Do we have to watch the v...”
Do we have to watch the videos even if we know the answer and we understand exsponets
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(5 votes)
Answer
- :D
  Posted 3 months ago. Direct link to :D's post “no but it will still give...”
  no but it will still give you points if you play the vid and walk away
  Comment on :D's post “no but it will still give...”
  (17 votes)
victoria white
Posted 5 years ago. Direct link to victoria white's post “it doesnt show it as corr...”
it doesnt show it as correct when i type 1 when the exponent is 0 even though my teacher taught us that it will always be 1.
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