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### Course: Arithmetic>Unit 17

Lesson 3: Powers of 10

# Introduction to powers of 10

Exponents are a way of simplifying the notation for repeated multiplication. When using a base of 10, the exponent tells you how many times to multiply 10 by itself. Converting between exponential notation and standard notation is straightforward: for example, 10 to the second power is the same as 10 times 10, or 100.

## Want to join the conversation?

• For the confused people, I'll give an example. Let's say you have 10 to the 4th power. you would add 4 zeros after the 1, giving you 10,000. The same thing goes for when you use different powers.
Ex: 10 to the 2nd power, 10 to the 3rd power, 10 to the 5th power, etc. etc
Even when you use numbers other than 10, this still applies.
• You are right about ten, but 2^2=20 isn't correct.
• From and beyond it made no sense to me but okay
• Let me make this easy for yall... First, you look at the little number above the big number. for example, ten to the power of six. you add six zeros to get the answer. or you can do it the hard way. your choice! but my teacher taught us the eeeeaaaassssyyyy way!
P.S. not da baby... DUCKBABY
• Thank you 🙏🙏
• So if I were to do 10 to the power of 15 I would add 15 zeros, right?
• That is correct. But you have to make sure you are adding the zeroes to the first digit, one, or else your number may be 10 times too high.
• What is ten to the millionth power? It has to be a looooooooot!
• It would be 1 followed by 1,000,000 zeroes. Yeah. That's a lot. I think it's called a Googol, and it's written as 10^1000000.
• Is there a 10 to the -1 power?
• 10 to -1 power is equal to 1/10 when you have a negative exponent you always make it a fraction. For example 5 to the -1 power is equal to 1/5.
Hopes this helps:) And sorry for being 1 year late.
• Ex:
10x10=100 100=10 to the second pattern. It's the same thing for each power of 10.Hope this helps anyone struggling. Tell me ay feedback if I explained wrong. Thanks in advance.
• Is he trying to do the power of ten you need to times 10×10×10=1,000 not 100 that answer is wrong because 10×10=100? The hat is BOB BBC.