Simplify the Expression: Finding a⁵÷a⁴ Using Exponent Rules

First, for good order, let's write the expression as a fraction:

$\frac{a^5}{a^4}$ Then we'll recall the law of exponents for division between terms with equal bases:

$\frac{c^m}{c^n}=c^{m-n}$ and we'll apply this law to our problem:

$\frac{a^5}{a^4}=a^{5-4}=a^1=a$where in the second step we calculated the result of the subtraction in the exponent and then used the fact that any number raised to the power of 1 equals the number itself, meaning that:

$X^1=X$ We got that: $\frac{a^5}{a^4}=a$therefore the correct answer is a.