3. rules simpl \$(-4n^{3})^{0}\$

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$3. rules simpl \$(-4n^{3})^{0}\$$

Question

rules simpl \$(-4n^{3})^{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 $(-4n^{3})^{0}$, we need to check if the base $-4n^{3}$ is non - zero. Since $n^{3}$ is a variable, and as long as $n
eq0$ (if $n = 0$, the original expression $-4n^{3}=0$, but the zero - exponent rule is defined for non - zero bases. However, in the context of simplifying the expression, we assume the base is non - zero so that we can apply the rule), we can apply the zero - exponent rule.

Step2: Apply the zero - exponent rule

According to the zero - exponent rule, for any non - zero number $a$, $a^{0}=1$. Here, $a=-4n^{3}$ (assuming $n
eq0$), so $(-4n^{3})^{0}=1$.

Answer:

$1$