If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Lesson 6: 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
• 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.
• 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.
• What does he mean we’re he says can you put another number here at
• It means instead of the number being 10 to the power of 2, it can be 5 to the power of 2 or 3 to the power of 2. You can put any number you want and the same rules apply.
• 10 to the zero power is nothing, and 10 to the first is 10, right?
• Hi! I know someone already answered your question, but I just wanted to say it in a little different way. Anything to the zeroth power is one, so unfortunately, the first part of your question was incorrect. Secondly, one reason 10 to the first is 10 is because anything to the first is itself. Another reason is because powers concern multiplying a number by itself, multiplying a number by itself once (meaning there is no other number to multiply by) means it would be itself. For example, 10x1 is 10, meaning 10 to the first power would be 10. But 10x10 equals 100, meaning 10 to the 2nd power is 100. Get the picture?
• 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.