Which expression accurately represents (a⁰)ⁿ?

To understand the expression (a⁰)ⁿ, we begin by recalling the properties of exponents. The expression a⁰ indicates that any non-zero base raised to the power of zero equals one. Therefore, a⁰ simplifies to 1, assuming a is not zero.

Now, considering (a⁰)ⁿ, we substitute a⁰ with 1. This gives us (1)ⁿ. The property of exponents states that any number (other than zero) raised to any power is still that number. Hence, (1)ⁿ is equal to 1.

Now, looking at the expression choices, when we expand the correct representation for (a⁰)ⁿ, we want to express our understanding of (a⁰)ⁿ in the notation of exponents. The expression a⁰ⁿ takes the zero exponent (a⁰) and raises it to the power of n. Since a⁰ is already equal to 1, which does not depend on n and remains constant, the exponent of 0 applies to a, yielding a⁰ⁿ as it puts n in relation to a⁰.

Ultimately, (a⁰)ⁿ simplifies