Question

simplify. express your answer using exponents.
$(v^{-9}w^{11})^0$

Explanation:

Step1: Recall the zero exponent rule

The zero exponent rule states that any non - zero number (or non - zero expression) raised to the power of 0 is equal to 1. In the expression \((v^{-9}w^{11})^{0}\), the base \(v^{-9}w^{11}\) is a non - zero expression (assuming \(v\) and \(w\) are non - zero, which is a necessary condition for having negative exponents in the first place).

Step2: Apply the zero exponent rule

According to the zero exponent rule \(a^{0}=1\) for \(a
eq0\). Here, \(a = v^{-9}w^{11}\), so \((v^{-9}w^{11})^{0}=1\).

Answer:

\(1\)