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.

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

FAQs

How to calculate 2 to the 8th power? ›

2 to 8th power equals 256. To find this, you'd multiply eight 2s together, like this: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. After multiplying all these 2s together, you get 256.

How to calculate 2 to the power? ›

In summary, the power of a number refers to how many times we will have to multiply the base. Let's put an example: 2 to the power of 5, which we can write as 2 5 2^5 25 means 2 × × 2 × 2 × 2 × 2 2 \times \times 2 \times 2 \times 2 \times 2 2××2×2×2×2. If we resolve, 2 to the power of 5 means 32.

How to write 2 to the power 8? ›

Answer: The value of 2 raised to 8th power i.e., 28 is 256.

How to calculate the power of a number? ›

What is the formula to find the power of a number? If the power is positive, multiply the number by itself that many times. If the power is negative, multiply the number's reciprocal by itself that many times. If the power is zero, the result will always be 1.

What is the base of 8 power 2? ›

Answer: 8 is the base and 2 is the exponent.

What is the meaning of 2 of 8 in maths? ›

Answer: 2/8 as a percentage is expressed as 25%.

In other words, we can say that percent is the ratio calculated out of 100 or a fraction with the denominator as 100. Explanation: To express a fraction as a percentage, we multiply the fraction by 100.

What does 8 squared look like? ›

8 squared is 64! 8 x 8=64. 8+8+8+8+8+8+8+8=64.

How is 2 to the 3rd power 8? ›

Answer: 2 raised to the third power is equal to 23 = 8. Explanation: 2 to the 3rd power can be written as 23 = 2 × 2 × 2, as 2 is multiplied by itself 3 times.

What is the 2 to 8th power? ›

Solution: 2 to the Power of 8 is equal to 256

The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value. Therefore, 2 to the power of 8 is 256.

How to solve 8 to the power of 8? ›

Answer and Explanation:

88 is also written as 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8: 8 × 8 = 64. 64 × 8 = 512. 512 × 8 = 4,096.

What does 8 2 mean in math? ›

8/2 is a notation in Mathematics to represent a fraction, that is the division of the integer 8 by the integer 2. The expression can be simplified to 4.

How do you find the power of a number? ›

What is the formula to find the power of a number? If the power is positive, multiply the number by itself that many times. If the power is negative, multiply the number's reciprocal by itself that many times. If the power is zero, the result will always be 1.

Which expression is equivalent to 2 to the 8th power? ›

Expert-Verified Answer

The expression that is equivalent to two to the eighth power is 2⁸.

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