Question

simplify. express your answer using a single exponent.
$(g^{11})^0$

Explanation:

Step1: Recall the zero exponent rule

The zero exponent rule states that any non - zero number (or non - zero base) raised to the power of 0 is equal to 1. Also, for a power of a power, we have the rule \((a^{m})^{n}=a^{m\times n}\), but when the exponent is 0, we can also directly apply the zero exponent rule. For the expression \((g^{11})^{0}\), regardless of the value of the base (as long as \(g
eq0\), and if \(g = 0\), \(0^{0}\) is an indeterminate form, but in the context of simplifying expressions with exponents, we assume the base is non - zero), when we raise a quantity to the power of 0, the result is 1.
Mathematically, using the zero exponent rule \(a^{0}=1\) (where \(a
eq0\)), and here \(a = g^{11}\), so \((g^{11})^{0}=1\) (assuming \(g
eq0\)).

Answer:

\(1\)