Question

$\frac{n^{-8}}{n^{-7}}$

Explanation:

Step1: Apply exponent division rule

When dividing terms with the same base, subtract the exponents: $\frac{n^a}{n^b}=n^{a-b}$
Here, $a=-8$ and $b=-7$, so the expression becomes $n^{-8 - (-7)}$

Step2: Simplify the exponent

Calculate the value of the exponent: $-8 - (-7) = -8 + 7 = -1$
So the expression simplifies to $n^{-1}$

Step3: Rewrite negative exponent

A negative exponent means the reciprocal: $n^{-1}=\frac{1}{n}$

Answer:

$\frac{1}{n}$ or $n^{-1}$