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Not multiplying leaves you with 1. Patreon: https://www.patreon.com/H3VtuxMy attempt at making an instructional visual explanation. Music is by Eric Prydz. Zero exponent Here's a fairly rational argument.

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Conversely, if n is a negative number, then exponentiation defined as: b-n = 1/bn.

For a decimal value between 0 and 1, which makes it a candidate for a negative power of two, use the “repeated multiplication by 2” algorithm. A number that is not a power of two will have products — actually, all of them — that are not powers of two.

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The other way to picture the calculation of an exponent is to start from the number one and then multiply as the exponent says to. Example: 5^3 is calculated as: 1x5x5x5=125. This doesn't impact the process much. Only if you happen to be going to the power of zero, which is why everthing to the power of zero is 1.

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No matter what is used when you raise it to the zero power it will always be one. 1 to the power of 0 is the same as 1 raised to 0.
Why is something to the power of 0 1

First, let’s refer to the combinational definition. You may have learned in school that anything, whether it’s a variable or a constant, to the power of zero is equal to one. However, your teacher probably didn’t explain why, and knowing the “Why?” is key to genuinely understanding this rule about exponents.

Using the two results of ab ÷ ab, we get: or, a0 = 1 any number 'a' raised to the power zero is always equal to one as it's numerical value is 1.
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x = 1 + 1.73j . x = 1 − 1.73j . The above graph does give us one of these solutions (the middle one, since we can see the real part is 1 and the imaginary part is 1.73), but it doesn't give the other two solutions. Once again, the page tells us it is assuming the "principal root", and gives us the option to choose the "real-valued root".

2011-06-19 Best Answer. Because exponents add when they have the same base. This works for any number except the number 0 because 0/0 is indeterminate.

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It is a good practice to simplify within parentheses before using the power rules; this In other words, any nonzero base raised to the 0 power is defined to be 1.

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.