Question

(\frac{x^{6}}{x^{10}})

Explanation:

Step1: Recall the exponent rule for division

When dividing two terms with the same base, we subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$ (where $a
eq0$). Here, the base is $x$, $m = 6$, and $n=10$.

Step2: Apply the exponent rule

$\frac{x^{6}}{x^{10}}=x^{6 - 10}$

Step3: Simplify the exponent

$6-10=- 4$, so we get $x^{-4}$. We can also write this using the negative exponent rule $a^{-n}=\frac{1}{a^{n}}$ as $\frac{1}{x^{4}}$, but usually leaving it as $x^{-4}$ or simplifying the exponent is acceptable.

Answer:

$x^{-4}$ (or $\frac{1}{x^{4}}$)