Question

which expression is equivalent to \\(\frac{x^{14}}{x^{7}}\\)?
a. \\(x^2\\)
b. \\(x^7\\)
c. \\(x^{21}\\)
d. \\(x^{98}\\)

Explanation:

Step1: Recall exponent rule for division

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

Step2: Apply the rule to the given expression

For $\frac{x^{14}}{x^7}$, we have $m = 14$ and $n = 7$. So, $x^{14 - 7} = x^7$.

Answer:

B. $x^7$