What is 2 to the 8th Power? (2024)

So you want to know what 2 to the 8th power is do you? In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 2 to the power of 8". That might sound fancy, but we'll explain this with no jargon! Let's do it.

What is an Exponentiation?

Let's get our terms nailed down first and then we can see how to work out what 2 to the 8th power is.

When we talk about exponentiation all we really mean is that we are multiplying a number which we call the base (in this case 2) by itself a certain number of times. The exponent is the number of times to multiply 2 by itself, which in this case is 8 times.

2 to the Power of 8

There are a number of ways this can be expressed and the most common ways you'll see 2 to the 8th shown are:

2⁸
2^8

So basically, you'll either see the exponent using superscript (to make it smaller and slightly above the base number) or you'll use the caret symbol (^) to signify the exponent. The caret is useful in situations where you might not want or need to use superscript.

So we mentioned that exponentation means multiplying the base number by itself for the exponent number of times. Let's look at that a little more visually:

2 to the 8th Power = 2 x ... x 2 (8 times)

So What is the Answer?

Now that we've explained the theory behind this, let's crunch the numbers and figure out what 2 to the 8th power is:

2 to the power of 8 = 2⁸ = 256

Why do we use exponentiations like 2⁸ anyway? Well, it makes it much easier for us to write multiplications and conduct mathematical operations with both large and small numbers when you are working with numbers with a lot of trailing zeroes or a lot of decimal places.

Hopefully this article has helped you to understand how and why we use exponentiation and given you the answer you were originally looking for. Now that you know what 2 to the 8th power is you can continue on your merry way.

Feel free to share this article with a friend if you think it will help them, or continue on down to find some more examples.

Cite, Link, or Reference This Page

If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!

<a href="http://visualfractions.com/calculator/exponent/what-is-2-to-the-8th-power/">What is 2 to the 8th Power?</a>
"What is 2 to the 8th Power?". VisualFractions.com. Accessed on June 7, 2024. http://visualfractions.com/calculator/exponent/what-is-2-to-the-8th-power/.
"What is 2 to the 8th Power?". VisualFractions.com, http://visualfractions.com/calculator/exponent/what-is-2-to-the-8th-power/. Accessed 7 June, 2024.
What is 2 to the 8th Power?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/exponent/what-is-2-to-the-8th-power/.

Exponentiation Calculator

Want to find the answer to another problem? Enter your number and power below and click calculate.

Calculate Exponentiation

Random List of Exponentiation Examples

If you made it this far you must REALLY like exponentiation! Here are some random calculations for you:

What is 20 to the 25th Power?

What is 19 to the 40th Power?

What is 86 to the 63rd Power?

What is 61 to the 54th Power?

What is 6 to the 85th Power?

What is 70 to the 34th Power?

What is 63 to the 56th Power?

What is 26 to the 29th Power?

What is 8 to the 8th Power?

What is 68 to the 4th Power?

What is 46 to the 44th Power?

What is 29 to the 11th Power?

What is 90 to the 76th Power?

What is 93 to the 68th Power?

What is 22 to the 50th Power?

What is 15 to the 53rd Power?