What is 2 to the 5th Power? (2024)

So you want to know what 2 to the 5th 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 5". 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 5th 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 5 times.

2 to the Power of 5

There are a number of ways this can be expressed and the most common ways you'll see 2 to the 5th shown are:

  • 25
  • 2^5

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 5th Power = 2 x ... x 2 (5 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 5th power is:

2 to the power of 5 = 25 = 32

Why do we use exponentiations like 25 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 5th 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 5th Power? (2024)

FAQs

How do you solve 2 to the 5th power? ›

Answer: 2 to the power 5 can be expressed as 25 = 2 × 2 × 2 × 2 × 2 = 32.

What is 2 to the power of 5 called? ›

Answer: 2 to the power of 5, denoted as 25, equals 32. To express 25, you raise the base number, which is 2 in this case, to the exponent, which is 5. This means you multiply 2 by itself 5 times.

What is the second power of 5? ›

Answer: 5 to the power of 2 can be expressed as 52 = 5 × 5 = 25.

How to calculate 2 power 5? ›

The value of 2 raised to the power of 5 is 32. You can calculate this by multiplying 2 by itself five times: 2 x 2 x 2 x 2 x 2 = 32.

How to calculate to the 5th power? ›

In arithmetic and algebra, the fifth power or sursolid of a number n is the result of multiplying five instances of n together: n5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube.

What is a 2 when a 5? ›

This question may be split into parts, as follows: Firstly, if a = 5, then a2 = 52 = 5 x 5 = 25. So a2 = 25 Secondly, if b = -3, then b3 = (-3)3 = (-3) x (-3) x (-3) = 9 x (-3) = -27.

How to do exponents? ›

If n is a positive integer and x is any real number, then xn corresponds to repeated multiplication xn=x×x×⋯×x⏟n times. We can call this “x raised to the power of n,” “x to the power of n,” or simply “x to the n.” Here, x is the base and n is the exponent or the power.

What does 5 with a little 2 mean? ›

The square of a number is that number times itself. 5 squared, denoted 5 [ 2 ] , is equal to 5×5, or 25.

How to solve power 2? ›

To find a base number with an exponent of 2 or any number raised to the power of 2, multiply that number by itself.

What is 5 to the power of 2 fractions? ›

When we calculate anything to the power of a negative number, the magnitude of the result is always less than one. Here, we have to solve 5 to the power of -2. ⇒ 5-2 = 1/52 = 1/(5 × 5) = 1/25 = 0.04.

What is the 5 power of 3? ›

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.

How to calculate to the power? ›

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.

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