# Any Number To The Zero Power Equals 1

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One of the laws of exponents is. In algebra and combinatorics the generally agreed upon value is 00 1 whereas in mathematical analysis the expression is sometimes left undefined.

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### However in the case of 1 0 the negative sign does not signify the number negative one but instead signifies the opposite number of what follows. Any number to the zero power equals 1. Zero to the power of zero denoted by 00 is a mathematical expression with no agreed upon value. On the other hand 0 to the power of anything else is 0 because no matter how many times you multiply nothing by nothing you still have nothing. The most common possibilities are 1 or leaving the expression undefined with justifications existing for each depending on context.

First let s refer to the combinational definition. B 0 1 b 1 b b 2 bb. Considering the myriad ways in which the exponential function can be defined one can solve for xº by referring to every single definition which is really the fairest way to go about it.

Zero to the power of zero what is 0 0. N x n x y n y for all n x and y. The concept of a number raised to the zero power equals one can be explained in several ways and is based on basic multiplicative concepts.

Zero to the power of zero does not equal 1 it equals zero. Did someone just make it up. As already explained the answer to 1 0 is 1 since we are raising the number 1 negative 1 to the power zero.

2 while the above argument might help convince your intuitive side that any number to the zero power is 1 the following argument is a little more rigorous this proof uses the laws of exponents. Perhaps a helpful definition of exponents for the amateur mathematician is. Looking at the pattern established when a number is raised to different powers each one less than the next helps explain the concept.

On one hand any other number to the power of 0 is 1 that s the zero exponent property. Have you ever heard that x to the zero power is one. Why is any number to the power of zero equal to 1.

Computer programming languages and software also have differing ways of handling this expression. A 0 1 a 1 a a 2 aa. But your first answer was good with the exception of the bad examples.

Maybe you ve even heard that zero the zero power is undefined. Despite this the mathematical community is in favor of defining zero to the zero power as 1 at least for most purposes. 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