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 do you 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 do you calculate the power of 2? ›

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent. Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times.

How to write 2 to the power 8? ›

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

What does 8 to the power 2 mean? ›

The exponent of a number says how many times to use the number in a multiplication. In 82 the "2" says to use 8 twice in a multiplication, so 82 = 8 × 8 = 64. In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"

How to calculate power easily? ›

Powers consist of a base raised to an exponent, such as in 2 raised to the power of 3. In this case, 2 is the base, and 3 is the exponent. This value can be written as and indicates an expression where 2 appears 3 times multiplying itself (2*2*2 = 8). Thus, 2 3 = 8 .

How to calculate power formula? ›

Power: Power is defined as the rate at which energy is transferred and can be calculated using the equation P = W t . Power is given in units of Joules per second or Watts (W). The following three problems demonstrate how to calculate work and power.

Is 2 to the third 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. Here, 2 is called the "base" and 3 is called the "exponent" or "power."

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.

What is 2 of the power of 8? ›

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 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.

What is the PEMDAS rule? ›

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

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.

How do you calculate 2 to the 9th power? ›

It means 2 is multiplied 9 time. So, 29 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512.

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