Question

if x is an integer greater than zero, which of the following is equal to \\(\frac{x^4}{x}\\)?\
\\(\text{(a) } x^2\\)\
\\(\text{(b) } x^3\\)\
\\(\text{(c) } x^4\\)\
\\(\text{(d) } x^5\\)\
\\(\text{(e) } x^6\\)

Explanation:

Step1: Apply exponent division rule

For non-zero $x$, $\frac{x^m}{x^n}=x^{m-n}$. Here $m=3$, $n=1$.
$\frac{x^3}{x}=x^{3-1}$

Step2: Calculate the exponent

Subtract the exponents.
$x^{3-1}=x^2$

Answer:

(A) $x^2$