Simplify the Expression: a⁸/a Using Exponent Rules

To solve the expression $\frac{a^8}{a}$, we can use the Power of a Quotient Rule for Exponents. According to this rule, when dividing like bases, we subtract the exponents.

The general formula for this is:

• $\frac{b^m}{b^n} = b^{m-n}$

For the given expression:

• $m = 8$
• $n = 1$

Now, applying the formula:

• $\frac{a^8}{a} = a^{8-1} = a^7$

Therefore, the solution to the question is:

a^7