Answer
The expression $\frac{a^{n}}{b^{0}}$ is undefined because division by 0 is undefined.
-->does not make sense
According to the zero exponent rule: $a^0=1$, any number raised to zero is equal to one provided that $a\ne0$. Thus,
$$\frac{a^{n}}{b^{0}} = \frac{a^{n}}{1} = a^n$$
Work Step by Step
The expression $\frac{a^{n}}{b^{0}}$ is undefined because division by 0 is undefined.
-->does not make sense
According to the zero exponent rule: $a^0=1$, any number raised to zero is equal to one provided that $a\ne0$. Thus,
$$\frac{a^{n}}{b^{0}} = \frac{a^{n}}{1} = a^n$$