Question

if x is an integer greater than zero, which of the following is equal to \\(\frac{x^{11}}{x^3}\\)? \\((a) x^4\\) \\((b) x^8\\) \\((c) x^9\\) \\((d) x^{10}\\) \\((e) x^{14}\\)

Explanation:

Step1: Apply exponent division rule

When dividing terms with the same base, subtract exponents: $\frac{x^m}{x^n}=x^{m-n}$

Step2: Substitute given exponents

Substitute $m=11$ and $n=3$: $x^{11-3}$

Step3: Calculate the exponent difference

$11-3=8$, so the result is $x^8$

Answer:

(B) $x^8$