So you want to recognize what 2 come the fifth power is carry out you? In this short article we"ll explain exactly just how to carry out the mathematics operation referred to as "the indices of 2 to the power of 5". That can sound fancy, yet we"ll define this with no jargon! Let"s perform it.

You are watching: What is 2 to the 5th power

What is an Exponentiation?

Let"s get our state nailed down first and climate we deserve to see exactly how to job-related out what 2 come the fifth power is.

When us talk around exponentiation all us really median is the we space multiplying a number i m sorry we call the base (in this situation 2) by itself a certain variety of times. The exponent is the variety of times to main point 2 by itself, i m sorry in this instance is 5 times.

2 to the strength of 5

There space a number of ways this have the right to be expressed and also the most usual ways you"ll see 2 come the 5th shown are:


So basically, you"ll either view the exponent making use of superscript (to make it smaller and slightly above the basic number) or you"ll usage the caret symbol (^) to represent the exponent. The caret is valuable in instances where you can not desire or must use superscript.

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

2 come the 5th Power = 2 x ... X 2 (5 times)

So What is the Answer?

Now the we"ve described the theory behind this, let"s crunch the numbers and figure out what 2 come the fifth power is:

2 to the power of 5 = 25 = 32

Why do we usage exponentiations choose 25 anyway? Well, it makes it much much easier for us to compose multiplications and conduct mathematical operations through both huge and small numbers as soon as you are working with numbers through a the majority of trailing zeroes or a lot of decimal places.

Hopefully this short article has helped you to know how and also why we use exponentiation and given friend the answer friend were initially looking for. Now that you know what 2 to the 5th power is friend can proceed on your merry way.

Feel free to re-superstructure this post with a girlfriend if friend think that will help them, or continue on under to discover some much more examples.

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