## To the power of..???

Everything from basic math up through high school!

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RBuskohl
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### To the power of..???

Hello, I am hoping somone can help me out here.
Is ther an easy way to figure this problem out without using trial and error?

Problem: What to the power of 10 is 1024?

Or 1024 is what to the tenth power?

Theodore
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### If your math (or computer science) book gives you a...

If your math (or computer science) book gives you a problem like this, the answer is always going to be an integer. The object of the book is to teach you math, not make your life horrible Start at 2 and work your way up.

(Hint: using this method, it took me about 5 seconds to find the answer)

RBuskohl
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My eleven year old son had this problem on one of his math papers. Im trying to teach him how do do it without starting at 2 and working up. Im a little rusty..

Richard

Theodore
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### 2 to the 10th power is one of the most important...

The answer is 2. 2 to the 10th power is one of the most important numbers to memorize, since it's the number of bytes in a kilobyte of data, or the number of kilobytes in a megabyte, or the number of megabytes in a gigabyte, etc. You'll run into it over and over again in computer science, but as far as I know, there's no easy way to mathematically calculate that if x^10 (or x**10, depending on how you like to represent it) = 1024, x = 2. All you can do is punch in likely numbers until you find it (it's the first number you test, anyway), or use a calculator.

RBuskohl
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ok, thank you very much for your help.

Have a super day..
Richard