Question

(\frac{2x^{7}}{x^{3}})

Explanation:

Step1: Apply exponent rule for division

When dividing terms with the same base, we subtract the exponents. The formula for $\frac{x^m}{x^n}$ is $x^{m - n}$. Here, the coefficient 2 remains, and for the $x$ terms, we have $x^7$ in the numerator and $x^3$ in the denominator. So we apply the rule: $\frac{2x^7}{x^3}=2\times x^{7 - 3}$.

Step2: Calculate the exponent

Calculate $7 - 3 = 4$. So the expression becomes $2x^4$.

Answer:

$2x^4$