The expression a⁰ / aⁿ simplifies to which of the following?

The expression ( \frac{a^0}{a^n} ) simplifies using the laws of exponents. According to the rules, when you divide two powers with the same base, you subtract the exponents. In this case, you can express the division as:

[

a^0 \times a^{-n}

]

This can also be represented as ( a^{0-n} ), which simplifies to ( a^{0-n} ) or ( a^{0-n} ). Because subtracting ( n ) from ( 0 ) is the same as ( 0 - n ) or ( -n ), this aligns perfectly with the expression ( a^{0-n} ). Thus, the correct simplified form of ( \frac{a^0}{a^n} ) is ( a^{0-n} ), which can be represented as ( a^{0-n} ).

This demonstrates that the expression simplifies correctly following the rules of exponents, confirming that it results in ( a^{0-n} ).