What is 3 to the 3rd Power? (2024)

So you want to know what 3 to the 3rd power is do you? In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 3 to the power of 3". 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 3 to the 3rd 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 3) by itself a certain number of times. The exponent is the number of times to multiply 3 by itself, which in this case is 3 times.

3 to the Power of 3

There are a number of ways this can be expressed and the most common ways you'll see 3 to the 3rd shown are:

  • 33
  • 3^3

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:

3 to the 3rd Power = 3 x ... x 3 (3 times)

So What is the Answer?

Now that we've explained the theory behind this, let's crunch the numbers and figure out what 3 to the 3rd power is:

3 to the power of 3 = 33 = 27

Why do we use exponentiations like 33 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 3 to the 3rd 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 3 to the 3rd Power? (2024)

FAQs

What is 3 to the 3rd Power? ›

Answer and Explanation:

What is the answer to the 3 to the 3rd power? ›

Another example can be the cube of 12, represented as 123, is equal to 12 × 12 × 12 = 1728. Therefore, 27 is the 3rd power of 3.

What is 3 to the 3rd power called? ›

In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3.

What is 3x to the 3rd power? ›

Answer and Explanation:

Simplifying (3x)3 gives 27x3. To simplify this expression, we will make use of the following rule of exponents: (ab)n = anbn.

What is the power of 3 answer? ›

In mathematics, a power of three is a number of the form 3n where n is an integer, that is, the result of exponentiation with number three as the base and integer n as the exponent.

How do you solve 3 powers? ›

Answer: x to the power of 3 can be expressed as x3 = (x) × (x) × (x)

Is 3 to the third power 27? ›

Answer and Explanation:

3 to the 3rd power, or 3 cubed, equals 27.

What is the 3 cubed answer? ›

Thus, for 3 in cubed, then you would multiply it 3 times. 3³ = 3x3x3; 3x3 is 9, and 9x3 is 27. Hence, the 3 cubed is 27.

What does "to the 3rd power" mean? ›

Answer and Explanation:

In mathematics, the expression to the third power means raising a number or expression to the power of 3 or the exponent of 3. To calculate a number, n, to the third power, denoted n3, we simply multiply n by itself 3 times. n to the third power = n3 = n × n × n.

Why is 3 a cube? ›

An easy way to write 3 cubed is 33. This means three multiplied by itself three times.

What is 3x3x3x3 called? ›

A number in exponential form is written by taking the base number used as a factor multiple times, and raising it to the power of the number of times it is used as a factor, for example, 3 to the fourth power is 3x3x3x3, or 3 multiplied by itself four times.

What is 4 to the 3rd power answer? ›

Answer: The value of 4 to the 3rd power i.e., 43 is 64. Let us calculate the value of 4 to the 3rd power i.e., 43. Thus, 43 can be written as 4 × 4 × 4 = 64.

Is it 3x or x3? ›

3x. If something is tripled, there is three times the value (just like doubling multiplies by 2). x^3 is the value multiplied by its value multiplied by its value. Tripling simply refers to multiplying a variable by three and not raising it to the power of three.

What is 3 to the 3rd exponent? ›

Answer and Explanation:

What is 3 to the 3rd power? That would be 3 x 3 x 3 = 27. Saying a number is 'cubed' is the same as saying it's 'to the third power. ' So, 'three to the third power' is actually the same as 'three cubed,' or 33.

What is the value of 3 power 3? ›

To calculate three to the third power, write a multiplication problem with three threes: 3³ = 3 × 3 × 3 = 27.

What is the 3rd power called? ›

If a number is raised to the power 3, then it is called the cube of that number.

How did you raise 3 to the 4th power? ›

Answer: 3 to the 4th power is equal to the number 3 multiplied by itself four times, and the resultant answer is 81.

What is 1 ⁄ 3 called? ›

Third: 1/3, pronounced as "one-third." Quarter or Fourth: 1/4, pronounced as "one quarter" or "one-fourth". Fifth: 1/5, pronounced as "one-fifth."

What is the 5th to the 3rd power? ›

Answer: The value of 5 raised to power of 3 is 53 = 125. Explanation: 53 = 5 × 5 × 5 = 125. 53 can also be understood as 5 cubed.

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