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## Algebra basics

### Course: Algebra basics > Unit 1

Lesson 3: Exponents- Intro to exponents
- Exponent example 1
- Exponent example 2
- Squaring numbers
- Intro to exponents
- The 0 & 1st power
- Powers of zero
- Meaning of exponents
- 1 and -1 to different powers
- Comparing exponent expressions
- Exponents of decimals
- Powers of whole numbers
- Evaluating exponent expressions with variables
- Variable expressions with exponents
- Exponents review

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# Exponent example 1

Sal explains the difference between 5 × 3 and 5 to the third power. Created by Sal Khan.

## Want to join the conversation?

- what does this symbol ^ mean?(135 votes)
- The ^ (or caret) symbol is the exponent symbol, so 1^2 is read one to the second power. I hope that helps!(223 votes)

- I'm probably jumping way too far ahead but... is there an operation represented by the ? mark below?

5*3 = 5+5+5

5^3 = 5*5*5

5?3 = 5^5^5(61 votes)- no its not a decimal its just 125 not 41.66666666666666666666

you just used your calculator for that maybe try hand writing it 9 (im not trying to be mean)(2 votes)

*I am struggling with exponents is there any hacks or cheat or even rules to figure these out??*(4 votes)- I need some practice questions per topic. Where do I get them?(2 votes)
- On Khan Academy, there are many practice questions on each subject and you can look them up on Khan Academy at the homepage. Hope that helped!(4 votes)

- i dont understand anything on the video.. can someone help me out please? ! >.<(0 votes)
- Exponents are just repeated multiplication. 5 to power 2 is 5 time itself twice, or 5x5. 5 to power 3 is 5 times itself thrice, or 5x5x5. 5x5=25, and 25x2=125. The value of 5 to power of 3, is 125 or 5x5x5! What else to say!(7 votes)

- so 5 to the 3rd power means to multiply 5*5*5? makes more sense(3 votes)
- What are some ways to express an exponent?(2 votes)
- I know three ways. Let me show you with an example. Say a problem was 8^2. I could say eight to the power of two, eight to the second power, or eight squared. If the exponent is not two or 3, then I think there are two ways to say an exponent. To express an exponent, you can write 8^2 or 8*8, with the example I have chosen.(1 vote)

- Everyone! Whatever you do, do not go to Wikipedia, People just put random stuff. And believe it or not, Wikipedia is created by little 3rd graders searching up stuff on the internet.(2 votes)
- what does the symbol ) mean(2 votes)
- is there supposed to be videos on this website? None of them are working(1 vote)
- Yes, there are supposed to be videos. Maybe they are not working because there is a bad internet connection or possibly just a glitch? There is a video transcript, so you can read that, or you can find a way to see if you can fix it. I know I´m 5 years late, but I hope I helped anyway.(1 vote)

## Video transcript

Find the value of 5 to
the third power. Let me rewrite that. We have 5 to the third power. Now, it's important to remember,
this does not mean 5 times 3. This means 5 times itself three
times, so this is equal to 5 times 5 times 5. 5 times 3, just as a bit of a
refresher so you realize the difference, 5 times 3-- let
me write it over here. 5 times 3 is equal to
5 plus 5 plus 5. So when you multiply by 3,
you're adding the number to itself three times. When you take it to the third
power, you're multiplying the number by itself three times. So 5 times 3, you've seen
that before, that's 15. But 5 to the third power, 5
times itself three times, is equal to-- well, 5 times 5 is
25, and then 25 times 5 is 125, so this is equal to 125. And we're done!