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Zero Exponent Property

Suppose \({a}\) is a nonzero real number,

$$\large{{{\color{red}a}^0}} = 1$$

Description: When a nonzero real number \(\large{a}\) is raised to the zero power, the value is equal to \(1\).

Some examples:

$${2^0} = 1$$

$${\left( { - 37} \right)^0} = 1$$

The key here is that \(a\) can't equal zero. If it is zero, we have an undefined case. In calculus, it is called an indeterminate form.

 

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