So you desire to recognize what 2 to the 32nd power is carry out you? In this write-up we"ll define exactly exactly how to carry out the mathematics operation called "the indices of 2 come the strength of 32". That could sound fancy, however we"ll define this with no jargon! Let"s perform it.

You are watching: What is 2 to the 32nd power

What is an Exponentiation?

Let"s acquire our terms nailed down very first and climate we have the right to see exactly how to work out what 2 come the 32nd power is.

When us talk around exponentiation all we really average is the we room multiplying a number which we contact the base (in this case 2) by itself a certain number of times. The exponent is the number of times to main point 2 by itself, which in this instance is 32 times.

2 come the power of 32

There room a variety of ways this deserve to be expressed and also the most typical ways you"ll watch 2 come the 32nd displayed are:


So basically, you"ll either view the exponent utilizing superscript (to make it smaller and slightly over the base number) or you"ll usage the caret prize (^) to denote the exponent. The caret is helpful in cases where you might not desire or have to use superscript.

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

2 come the 32nd strength = 2 x ... X 2 (32 times)

So What is the Answer?

Now the we"ve defined the concept behind this, let"s crunch the numbers and also figure the end what 2 come the 32nd strength is:

2 to the power of 32 = 232 = 4,294,967,296

Why carry out we use exponentiations like 232 anyway? Well, it renders it much less complicated for united state to create multiplications and also conduct mathematical operations through both huge and little numbers once you are working v numbers through a most trailing zeroes or a lot of decimal places.

Hopefully this short article has aided you to understand how and why we use exponentiation and given you the answer friend were initially looking for. Currently that you understand what 2 come the 32nd strength is friend can proceed on your merry way.

Feel complimentary to share this write-up with a girlfriend if girlfriend think the will aid them, or continue on down to find some more examples.

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