Question

simplify the following expression: (xyz)^0 =

Explanation:

Step1: Recall the zero - exponent rule

The zero - exponent rule states that for any non - zero real number \(a\), \(a^{0}=1\). In the expression \((xyz)^{0}\), we assume that \(x\), \(y\), and \(z\) are non - zero (otherwise, the expression \(xyz\) would be \(0\) and \(0^{0}\) is an indeterminate form, but in the context of this problem, we are to apply the zero - exponent rule).

Step2: Apply the zero - exponent rule to \((xyz)^{0}\)

Since \(xyz\) (assuming \(x\), \(y\), \(z\) are non - zero) is a non - zero quantity (in the context of the problem's multiple - choice options, we follow the standard zero - exponent rule), by the zero - exponent rule \(a^{0}=1\) (where \(a = xyz\)), we have \((xyz)^{0}=1\).

Answer:

1